Question

Agrocery store bought milk for $2.20 perhalf gallon and stored it in two refrigerators. During the night one refrigerator malfunctioned and ruined 13 half gallons. If the remaining milk is sold for $3.96 per half gallon, how many half gallons did the store buy if they made a profit of $121.00

Answer 1

The store bought 98 half gallon milks

Step-by-step explanation

Let the number of half gallon nilks they bought be x

They bought each half gallon milk at a rate of 2.2 dollars each

13 half gallons got spoilt.

They then sold the rest of the half gallone (x - 13) gallons at 3.96 dollars per half gallon

Profit = Revenue - Cost

Revenue = (Amount of half gallons sold) × (Price of each one)

Revenue = (x - 13) × 3.96

Revenue = (3.96x - 51.48)

Cost = (Amount of half gallons bought) × (Price of each one)

Cost = x × 2.20

Cost = 2.20x

Profit = 121 dollars

Profit = Revenue - Cost

121 = (3.96x - 51.48) - 2.20x

121 = 3.96x - 51.48 - 2.20x

121 = 1.76x - 51.48

1.76x - 51.48 = 121

1.76x = 121 + 51.48

1.76x = 172.48

Divide both sides by 1.76

(1.76x/1.76) = (172.48/1.76)

x = 98 half gallon milks

Hope this Helps!!!