A grocery store bought yogurt for $2.60$ 2.60 per container and stored it in two refrigerators. During the night, one refrigerator malfunctioned and ruined 1414 containers. If the remaining yogurt is sold for $4.08$ 4.08 per container, how many containers did the store buy if they made a profit of $84.96$ 84.96?

Answer: the store bought 96 containers.

Step-by-step explanation:

Let x represent the number of containers of yogurt that the store bought.

The grocery store bought yogurt for $2.60 per container. It means that the cost of x containers is $2.6x.

If 14 containers were ruined during the night, then the containers left is

(x - 14)

If the remaining yogurt is sold for $4.08 per container, it means that the revenue generated is

4.08 (x - 14)

Profit = revenue - cost

if they made a profit of $84.96, it means that

4.08 (x - 14) - 2.6x = 84.96

4.08x - 57.12 - 2.6x = 84.96

4.08x - 2.6x = 84.96 + 57.12

1.48x = 142.08

x = 142.08/1.48

x = 96

96

Step-by-step explanation:

Let X be the total containers bought

Sales - cost = profit

4.08 (X - 14) - 2.6X = 84.96

4.08X - 2.6X - 57.12 = 84.96

1.48X = 142.08

X = 96