Question

Max earned $175.00 mowing yards during spring break. They used the money to buy vouchers for both tumbling and boxing classes. Each tumbling class voucher cost $25.00, while each boxing class voucher cost $30.00. Which of the following is a viable solution for the number of vouchers Max bought, assuming they spent their entire earnings?(1 point)
Responses

4 tumbling vouchers and 2.5 boxing vouchers
4 tumbling vouchers and 2.5 boxing vouchers

6 tumbling vouchers and 1 boxing voucher
6 tumbling vouchers and 1 boxing voucher

7 tumbling vouchers and 0 boxing vouchers
7 tumbling vouchers and 0 boxing vouchers

1 tumbling voucher and 5 boxing vouchers

Answer 1

Compute 25t + 30b = 175. Dividing by 5: 5t + 6b = 35, so b must be a multiple of 5.

Check the options:
- 4 tumbling, 2.5 boxing — not allowed (fractional voucher).
- 6 tumbling, 1 boxing — 6·25 + 1·30 = 180 ≠ 175.
- 7 tumbling, 0 boxing — 7·25 = 175 ✓
- 1 tumbling, 5 boxing — 1·25 + 5·30 = 175 ✓

So the viable solutions are 7 tumbling & 0 boxing and 1 tumbling & 5 boxing.