A spa owner bought hand lotion in a 2-quart container and then repackaged the lotion in 8-fluid-ounce bottles. The lotion and bottles cost $80.75, and each 8-fluid-ounce bottle was sold for $8.5. How much profit was made on the 2-quart package of lotion?

Question

Quizplus · Accepted Answer

First, convert 2 quarts to 64 fluid ounces.

The 2-quart container contains 8 bottles of lotion, as 2 quarts = 64 fluid ounces and each bottle contains 8 fluid ounces.

Let the cost of the lotion be x.

The cost of the lotion and bottles is given as $80.75:

x + 8($8.5) = $80.75

x = $-12.75

The negative value for cost indicates that the spa owner paid more for the lotion and bottles than they earned from selling the bottles.

To calculate the profit, find the revenue earned from selling the lotion:

8 bottles × $8.5/bottle = $68

Profit = Revenue - Cost = $68 - (-$12.75) = $80.75

Therefore, the profit made on the 2-quart package of lotion was $37.25.

A Spa Owner Bought Hand Lotion in a 2-Quart Container