Question

A corner store sells two kinds of baked goods: cakes and pies. A cake costs $8 and a pie costs $13. In one day, the store sold 9 baked goods for a total of $92. Which system of equations best represents this situation?

Answer 1

1) The total number of baked goods sold: c + p = 9

2) The total amount of money raised: 8c + 13p = 92

Explanation:

Let's represent the number of cakes sold as "c" and the number of pies sold as "p".

Based on the given information, we can form the following system of equations:

1) The total number of baked goods sold: c + p = 9

2) The total amount of money raised: 8c + 13p = 92

The first equation represents the total number of baked goods sold, which is the sum of cakes and pies, equal to 9.

The second equation represents the total amount of money raised, which is the product of the price of each cake ($8) multiplied by the number of cakes sold (c), plus the product of the price of each pie ($13) multiplied by the number of pies sold (p), equal to $92.

Therefore, the system of equations that best represents this situation is:

c + p = 9

8c + 13p = 92