Calculating the Difference in Profits Between Two Food Carts

Explanation:

To determine the difference in dollars between the lowest profits of Cart A and Cart B, we need to consider their mean and median values. Let's denote the lowest profit of Cart A as x dollars and the lowest profit of Cart B as y dollars. Since the medians and largest profit values are the same for both carts, we can assume that the medians and largest profits of both carts are also x and y dollars respectively.

The mean of Cart A is $27 more than the mean of Cart B. Therefore, the mean of Cart A is (x + 27) dollars and the mean of Cart B is x dollars. To find the difference between the lowest profits, we simply need to subtract y from x, which gives us the difference in profits as (x - y) dollars.

Therefore, the final answer to the question is that the difference in dollars between the lowest profits of Cart A and Cart B is equal to the calculated difference of (x - y) dollars.

Summary: In conclusion, the difference in profits between the lowest earnings of Cart A and Cart B can be determined by looking at their mean values and subtracting the lower profit from the higher profit. This calculation allows us to find the specific monetary difference between the two food carts' earnings.