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

Solve 25T + 30B = 175. Divide by 5: 5T + 6B = 35.

Reducing mod 5 gives B ≡ 0 (mod 5), so B = 0 or 5 (nonnegative).
- B = 0 → 5T = 35 → T = 7.
- B = 5 → 5T + 30 = 35 → T = 1.

So the viable solutions from the choices are: 7 tumbling & 0 boxing, and 1 tumbling & 5 boxing.