A family of 20 purchased tickets to the county fair. Tickets for adults cost $8 while tickets for children cost $4. If the total cost of tickets were $100, how many family members were adults and children? Explain how you solved the problem

Answers

Answer 1

Answer:

There are 5 adults and 15 children in the family.

Step-by-step explanation:

Given

Number of people in the family = 20

Cost of adults tickets = $8

Cost of children tickets = $4

Total ticket sold = $100

Required

How many adults and children are in the family.

Let C represent children and A represent adults.

If there are 20 members of the family, then.

A + C = 20

Also, if adult tickets is sold for $8 and children tickets is sold for $4 and the total cost of tickets were $100, then we have

8A + 4C = 100.

Now, we have two equations to be solved simultaneously.

A + C = 20 --- (1)

8A + 4C = 100 ---- (2)

Make C the subject of formula in (1)

C = 20 - A.

Substituton 20 - A for C in (2)

8A + 4(20 - A) = 100

8A + 80 - 4A = 100

Collect like terms

8A - 4A = 100 - 80

4A = 20

Multiply both sides by ¼

¼ * 4A = ¼ * 20

A = 5

Recall that C = 20 - A

So,

C ,= 20 - 5

C = 15.

Hence, there are 5 adults and 15 children in the family.

The Question was solved by getting an expression to represent the amount of tickets that were sold and another expression for the total number of people in the family.

The two expressions gave us a simultaneous equation and the equations were solved simultaneously.


Related Questions

PLEASE ANSWER QUICKLY!
Simplify –7(x + 10) + 9(x – 4)

Answers

Answer:

2x-106

Step-by-step explanation:

-7(x+10)+9(x-4)

Expand parentheses:

-7x-70+9x-36

Combine like terms:

2x-106

Hope this helps!

Answer:

2x - 106    (or   x - 53)    i hope this helps!   :)

Step-by-step explanation:

-7(x + 10) + 9(x - 4)

you need to distribute the -7 with the x and the 10

-7x - 70 + 9(x - 4)

distribute the 9 with the x and -4

-7x - 70 + 9x - 36

combine like terms   first the x values

2x - 70 - 36

combine like terms

2x - 106

i dont remember if you  divide both by two or not

x - 53   if so x - 53 is the answer

A box contains 18 blue flashlights, 3 red flashlights, 7 silver flashlights, and 2 black flashlights. The flashlights are identical in size and shape. If one flashlight is chosen at random, what is the probability that the flashlight will be either blue or black?

Answers

The probability that the flashlight will be either blue or black is,

⇒ 20/30

What is mean by Probability?

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

We have to given that;

A box contains 18 blue flashlights, 3 red flashlights, 7 silver flashlights, and 2 black flashlights.

Hence, Total number of flashlights are,

⇒ 18 + 3 + 7 + 2

⇒ 30

So, the probability that the flashlight will be blue is,

⇒ 18 / 30

And, the probability that the flashlight will be black is,

⇒ 2 / 30

Hence, the probability that the flashlight will be either blue or black is,

⇒ 18/30 + 2/30

⇒ 20/30

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The probability of flashlight to be black or blue is 2/3. To find the probability of selecting a blue or black flashlight from a box, add the number of blue and black flashlights, then divide by the total number of flashlights.

We first find the total number of blue and black flashlights, which is 18 (blue) + 2 (black) = 20.

Then, we divide this by the total number of flashlights in the box (18 + 3 + 7 + 2 = 30) to get the probability.

The probability of choosing a blue or black flashlight is 20/30 = 2/3 = 0.67.

Jan is the regional manager of Graphic DesignWorks. She uses a company
cell phone that costs $125 each month. She manages 5 branches of Graphic
DesignWorks equally. How much of her annual cell phone bill will each branch
pay for?

a. 125
b.150
c.500
d.300​

Answers

Answer:

$300.00

Step-by-step explanation:

If each branch pays the bill equally, and the bill accounts for a year's worth of pay, then you should multiply 125*12~giving you 1500

Then you divide 1500/5, since the 5 company's pay equally... this is equal to 300 dollars.

Answer:

d.300​

Step-by-step explanation:

Li’s family is saving money for their summer vacation. Their vacation savings account currently has a balance of $2,764. The family would like to have at least $5,000.

The inequality 2764 + x Greater-than-or-equal-to 5000 can be used to determine the amount of money the family still needs to save. What is the solution to the inequality?
x Greater-than-or-equal-to 2236
x Greater-than-or-equal-to 7764
x Less-than-or-equal-to 2236
x Less-than-or-equal-to 7764

Answers

Answer:

Its A

Step-by-step explanation:

Got it right  on EDGE 2021 :D

Answer: A

Step-by-step explanation:

hope this helps and here is proof

Question 1
A bike that is regularly priced at $159 has a 25% discount. How
much is the discount?
Select one:
O $119.25
O $89.50
O $124.25
O $39.75

Answers

The correct answer is B

Answer:

the last one $119.25

Step-by-step explanation:

if you buy an item at $159 with 25% discount, you will pay 159-39.75 = 119.25.

What is the volume of the following rectangular prism?

Answers

Answer:

27/12

Step-by-step explanation:

Answer:

27/12

Step-by-step explanation:

Mark is trying to find the length of a building block. He knows that the sum of 2.5 times the length of the block, 5 times the length of the block, and 1.9 inches is equal to 12.4 inches. What is the length of the building block?

Answers

Answer:22

Step-by-step explanation:

I think so

What type of angles are <2 and <7

Answers

Answer:

alternate exterior angles

Step-by-step explanation:

hope this helps

Answer:

Alternate Exterior Angles

Step-by-step explanation:

Alternate Exterior Angles are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal.

Use the quadratic formula to determine the solutions to the quadratic equation. Write your answers as decimals, and round to the nearest hundredth (2 decimal spots).

2x2−5x+1=0



Enter your answers in the boxes.

x =
or x =

Answers

Answer:x=2.28

X=0.22

Step-by-step explanation:

Use the data on the dot plot to answer the question.




How many people read for more than three hours last week?






100pt

Answers

Answer:

14 people read more thin 3 hours

Step-by-step explanation:

Answer:

it is 14

Step-by-step explanation:

hope this helps. :)

Diego had a glue stick with a diameter of 0.7 inches he sets it down 3.5 inches away from the edge of the table, but it rolls onto the floor. How many rotations did the glue stick make before it fell of the table

Answers

Answer:

about 1.6 times

Step-by-step explanation:

The glue stick make about 5 times rotations before it fell of the table .

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit.

This is a method that we use for most of the calculations in math.

We are given that Diego had a glue stick with a diameter of 0.7 inches he sets it down 3.5 inches away from the edge of the table.

3.5 / 0.7 = 5

The glue stick make about 5 times rotations before it fell of the table .

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help please 20 points!!!!

Answers

Answer:

its 10 points

Step-by-step explanation:

Answer:

a) 21/50

Step-by-step explanation:

Which of the following tables models an exponential function?

x y
0 5
1 7
2 9
3 11

x y
0 5
1 10
2 20
3 40

x y
0 5
1 6
2 8
3 11

x y
0 5
1 10
2 15
3 20

Answers

Final answer:

Among the given tables, only the table with y-values doubling as x increments by 1 represents an exponential function. This is characterized by a constant proportional rate of change in the y-values in relation to x.

Explanation:

The question asks to identify which of the given tables models an exponential function. An exponential function is a mathematical function in the form [tex]f(x) = a · b^x,[/tex] where a is not zero, b is a positive real number not equal to 1, and x is any real number. The key characteristic of an exponential function is that the rate of change (the increase or decrease) is proportional to its current value, meaning as x increases, the value of y increases or decreases at a rate proportional to its current value.

x   y
0 5
1 7
2 9
3 11

This does not represent an exponential function because the increase in y is linear.

x   y
0 5
1 10
2 20
3 40

This table models an exponential function since each y-value is doubling as x increases by 1.

x   y
0 5
1 6
2 8
3 11

This does not model an exponential function because the growth does not follow a constant ratio.

x   y
0 5
1 10
2 15
3 20

This also does not represent an exponential function as the increase in y is linear, similar to the first table.

Therefore, the table that models an exponential function is the one where the y value doubles as x increments by 1.

876.64 in word form.

Answers

Step-by-step explanation:

876.64 in word form would be eight hundred seventy six point sixty four

Answer:

eight hundred and seventy six and sixty four hundredths.

How to get the answer:

To get the answer you would first start with the digits on the left. Then you would need to look at what place that digit is and what that corresponds to. For example the number 10, so you would first look at the number 1, the number is 2 places to the left of the decimal point and so would be in the tens  column, this tells you that the first word would be ten and if there is a 0 then you would skip that word.

Which of the following is equivalent to 60 Superscript one-half?
a. StartFraction 60 Over 2 EndFraction
b. StartRoot 60 EndRoot
c.StartFraction 1 Over 60 squared EndFraction
d. StartFraction 1 Over StartRoot 60 EndRoot EndFraction

Answers

Answer:

[tex]\sqrt{60} [/tex]

Step-by-step explanation:

[tex]60^{1/2} [/tex] means [tex](\sqrt{60} )^{1} [/tex]

Analyze the zeros of f(x) = x4 – 3x3 - 2x + 3x - 5.
Determine the number of complex zeros.
a.2
b.4
c.1
d.3
Please select the best answer from the choices provided
A
B
C
D

Answers

Answer:

A

Step-by-step explanation:

e2020

:)

Please help, I need an explanation!

A circus charges $5 per child ticket and $8 per adult ticket. There were 136 tickets sold for a total of $830. How many child tickets and how many adult tickets were purchased?

I know that I need to use c + a =136 and 5c + 8a = 830

Answers

Answer:

50 adult

86 child

Step-by-step explanation:

c + a =136

5c + 8a = 830

These are the two equations to use

c is the number of child tickets and a is the number of adult tickets

The total number of tickets is 136

The child tickets are 5 dollars apiece and the adult tickets are 8 dollars apiece and the total amount made is 830

I will use elimination

Multiply the first equation by -5

-5(c+a) = -5*136

-5c-5a =-680

Then add this to the second equation

-5c-5a =-680

5c +8a = 830

------------------------

    3a  = 150

Divide each side by 3

3a/3 = 150/3

a = 50

Now we can find c

a+c = 136

50 + c = 136

Subtract 50 from each side

50+c-50 =136-50

c = 86

Answer:

child tickets: 86

adult tickets: 50

Step-by-step explanation:

C + A = 136

C = 136 - A

5C + 8A = 830

5(136 - A) + 8A = 830

680 - 5A + 8A = 830

3A = 150

A = 50

C = 136 - 50

C = 86

Ian purchased cans of soda for a party he was having. For every 12 cans of soda she paied $4.98. What is the cost per can of soda?

Answers

Look at the attached picture

Hope it will be helpful to you

if i have 20 cookies and i take 10 away, how much do i have left

Answers

Answer:

10

Step-by-step explanation:

20 - 10 = 10

Answer:

you still have 20 because they are your cookies if i had 20 and you took  10 away it would be tend but since your taking your own cookies its 20 unless you eat them

The masses of six chairs are 34.5 kilograms, 42.6 k, 39.8 k, 40.1 k, 53.4 k 33.8 k. Find the mean mass.

Answers

Answer:

41.9

Step-by-step explanation:

Answer:

40.7

Step-by-step explanation:

add all of the masses together and the divide that answer by how many chairs there are

In a certain normal distribution of scores, the mean is 40 and the standard deviation is 3. Find the z-score corresponding to a score of 54.
a. 4.67
c. 4.67
b. 18.0
d. 13.33
Please select the best answer from the choices provided

Answers

Answer:

choice a.) 4.67

Step-by-step explanation:

Using the Z-score table.

We have:

mean u = 40

standard deviation s  = 3

for X = 54

Use formula for Z-score:   Z = (X -u)/s

Z-score = Z = (X - u)/s  = (54 - 40)/3 = 14/3 = 4.6667

P(Z > 4.6667) = 0.000003   very close to 0

Find the exact length of the third leg

Answers

6^2+x^2=8^2 so 64-36=28. So that’s the answer
First of all, we are going to use Pythagorean theorem ( a^2+ b^2=c^2 ) to find x, the third leg. We know a=6 and c=8, we are looking for b, so we plug in the numbers. 6^2+ b^2=8^2. We simplify and get 36+ b^2= 64. Afterwards, we subtract 36 from both sides to isolate b^2. We get that b^2= 28. We then square root both sides (√b and √28), to isolate b, and we get that b= 5.291502622129181. Rounding to the nearest hundredths the answer is 5.29.

If the product of two integers is positive, their signs are positive or negative

Answers

Answer:

It could be both 2 positives, or 2 negatives.

Step-by-step explanation:

This is because a negative times a negative is a positive, and a positive times a positive is a positive.

If the product of two integers is positive, their signs can be either positive or negative.

If the product of two integers is positive, their signs are positive or negative.

To understand this, we need to consider the rules for multiplying integers. When we multiply two positive numbers or two negative numbers, the result is always positive. However, when we multiply a positive number and a negative number, the result is always negative.

For example, if we multiply +3 and +4, the result is +12. If we multiply -3 and -4, the result is also +12. But if we multiply +3 and -4, the result is -12.

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Find the area and perimeter of the rectangle with vertices (5,3), (5,-4), (1,-4), (1,3)

Answers

Answer:

p=22 a=28

Step-by-step explanation:

Please help as soon as possible.

Answers

Answer: 618400 and 10 to the power of 5 has 5 zeros.

6+2x ² in standard form

Answers

Answer:

2x^(2)+x-6

Step-by-step explanation:

1) 2(x - 5) + 7 = x + 8
what is x

2) 5(x - 1) - 6x = -11x
what is x

Answers

Answer:

x = 11

1/2 =x

Step-by-step explanation:

1) 2(x - 5) + 7 = x + 8

Distribute

2x-10+7 = x+8

Combine like terms

2x -3 = x+8

Subtract x from each side

2x-x-3 = x+8-8

x -3 = 8

Add 3 to each side

x-3+3 = 8+3

x = 11

2) 5(x - 1) - 6x = -11x

Distribute

5x-5-6x = -11x

Combine like terms

-x-5 = -11

Add x to each side

-x+x -5 = -11x +x

-5 = -10x

Divide each side by -10

-5/-10 = -10x/-10

1/2 =x

Answer:

1) x = 11

2) x = ½

Step-by-step explanation:

1) 2(x - 5) + 7 = x + 8

2x - 10 + 7 = x + 8

2x - 3 = x + 8

x = 11

2) 5(x - 1) - 6x = -11x

5x - 5 - 6x = -11x

-5 - x = -11x

10x = 5

x = ½

Find the area of the figure that is blue

Answers

Answer:

there is no pic

Step-by-step explanation:

Answer:

i need a picture.

Step-by-step explanation:

Billy has $3.00. Bubble gum costs $.30. He bought four pieces.

Answers

$.30 x 4 = $1.20. Hope it’s right
Final answer:

The question is about calculating how much money Billy will have left after buying four pieces of bubble gum which costs $.30 each from his $3.00. After buying the bubble gum, Billy will have $1.80 left.

Explanation:

The subject of the question is a simple mathematical problem related to Billy's purchase of bubble gum. Billy has $3.00 and purchases four pieces of bubble gum, which costs $.30 per piece. To calculate how much money Billy will have left after buying gum, you first need to figure out how much he spent on the bubble gum. Since bubble gum costs $.30 per piece and Billy bought four pieces, the total cost for the bubble gum is 4 * $.30 = $1.20. After buying the bubble gum, Billy will have $3.00 - $1.20 = $1.80 left.

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PLEASE HELP WITH THESE ❤️ (DUE TODAY!!!)

Answers

Answer

Caythlyn patter will be

3

7

15

mina pattern will be

4

9

19

Step-by-step explanation:

all your doing is multiply and then adding because an number time 1 is the number it is multiplied by. and then keep adding and mutiply on to find you answer

(p.s im not sure so i hope its right I tried)

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