Question

A local service organization is wrapping gifts at the mall to raise money for charity. Yesterday, they wrapped 29 small gifts and 29 large gifts, earning a total of 232. Today, they wrapped 29 small gifts and 46 large gifts, and earned 334. How much did they charge to wrap the gifts?

Answer 1

To find out how much they charge to wrap the gifts, we need to solve a system of equations and find the values of x and y. After solving the equations, we find that they charge $4 to wrap a small gift and $8 to wrap a large gift.

Step-by-step explanation:

To find out how much they charge to wrap the gifts, we need to solve a system of equations. Let's assume the cost of wrapping a small gift is x dollars and the cost of wrapping a large gift is y dollars.

From the information given, we can set up the following equations:

1. 29x + 29y = 232
2. 29x + 46y = 334

Multiplying the second equation by 29 and subtracting it from the first equation, we can eliminate x and find the value of y. Then we can substitute this value back into one of the original equations to find the value of x.

After solving the equations, we find that x = 4 and y = 8. Therefore, they charged $4 to wrap a small gift and $8 to wrap a large gift.