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)"

Answer Options:

1 tumbling voucher and 5 boxing vouchers
4 tumbling vouchers and 2.5 boxing vouchers
6 tumbling vouchers and 1 boxing voucher
7 tumbling vouchers and 0 boxing vouchers

Sources

Answer 1

To determine which answer option is a viable solution for the number of tumbling and boxing class vouchers Max bought with a total of $175.00, we can set up an equation based on the cost of each type of voucher.

Let:
- \( t \) = number of tumbling vouchers
- \( b \) = number of boxing vouchers

The costs are:
- Each tumbling voucher costs $25.00
- Each boxing voucher costs $30.00

The total cost equation is:
\[ 25t + 30b = 175 \]

Now we can examine each answer option to see which satisfies this equation.

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

2. **4 tumbling vouchers and 2.5 boxing vouchers**:
\[
25(4) + 30(2.5) = 100 + 75 = 175
\]
However, you cannot buy half a boxing voucher, so this is not a viable solution.

3. **6 tumbling vouchers and 1 boxing voucher**:
\[
25(6) + 30(1) = 150 + 30 = 180
\]
This exceeds the total of $175, so this is not a viable solution.

4. **7 tumbling vouchers and 0 boxing vouchers**:
\[
25(7) + 30(0) = 175 + 0 = 175
\]
This is also a viable solution.

Thus, the viable solutions are:
1. 1 tumbling voucher and 5 boxing vouchers.
4. 7 tumbling vouchers and 0 boxing vouchers.

So, the answer options that are viable are:
- **1 tumbling voucher and 5 boxing vouchers** (Option 1)
- **7 tumbling vouchers and 0 boxing vouchers** (Option 4)