A grocery store bought milk for $2.20 per half gallon and stored it in two refrigerators. During the night, one refrigerator malfunctioned and ruined 13half gallons. If the remaining milk is sold for $4.04per half gallon, how many half gallons did the store buy if they made a profit of $116.76?

Total of 92 half gallons of milk they bought.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say they bought x half a gallon of milk.

Cost of buying ⇒

x × 2.20 = 2.2x

Since 13 half gallons were destroyed so

Remaining = x - 13

The selling price of remaining milk ⇒

(x - 13) × 4.04

Now,

Profit = selling price - cost of buying.

116.76 = (x - 13) × 4.04 - 2.2x

4.04x - 2.2x - 52.52 = 116.76

1.84 x = 169.28

x = 92

Hence "Total of 92 half gallons of milk they bought".

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