Question

A school marching band will raise one dollar for each granola bar and five dollars for each pie they sell. Yesterday, they raise $260 by selling 80 bars and pies. How many of each did they sell?

Answer 1

Answer: 35 granola bars and 45 pies were sold.

Explanation:

Let x represent the number of granola bar that was sold.

Let y represent the number of pie that was sold.

A school marching band will raise one dollar for each granola bar and five dollars for each pie they sell. Yesterday, they raise $260 by selling 80 bars and pies.

This means that

x + 5y = 260 - - - - - - - - - -1

Since they sold a total of 80 bars and pies, it means that

x + y = 80

Substituting x = 80 - y into equation 1, it becomes

80 - y + 5y = 260

- y + 5y = 260 - 80

4y = 180

y = 180/4 = 45

x = 80 - y = 80 - 45

x = 35