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

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
1 tumbling voucher and 5 boxing vouchers

4 tumbling vouchers and 2.5 boxing vouchers

Answer 1

To find a viable solution for the number of vouchers Max bought, we can set up an equation based on the total cost of the vouchers.

Let \( T \) be the number of tumbling vouchers and \( B \) be the number of boxing vouchers. The costs can be represented by the equation:

\[ 25T + 30B = 175 \]

Now, we can evaluate each of the provided options:

1. **6 tumbling vouchers and 1 boxing voucher**:
\[ 25(6) + 30(1) = 150 + 30 = 180 \] (not viable)

2. **7 tumbling vouchers and 0 boxing vouchers**:
\[ 25(7) + 30(0) = 175 + 0 = 175 \] (viable)

3. **1 tumbling voucher and 5 boxing vouchers**:
\[ 25(1) + 30(5) = 25 + 150 = 175 \] (viable)

4. **4 tumbling vouchers and 2.5 boxing vouchers**:
Since you cannot purchase half a boxing voucher, this option is not viable.

The viable solutions based on the calculations above are:
- 7 tumbling vouchers and 0 boxing vouchers.
- 1 tumbling voucher and 5 boxing vouchers.

So, the viable options are:
- **7 tumbling vouchers and 0 boxing vouchers**
- **1 tumbling voucher and 5 boxing vouchers**