Question

The admission to a local carnival is $8.25 per person and $1.50 for each ride. How much more will it cost a group of 3 friends to ride 8 rides each than to ride 3 rides each?

NOTE: Type the numerical answer into the blank to receive credit for this question. For example, if the answer is fifteen dollars and twenty-five cents, you would type 15.25 into the blank. DO NOT type the $ symbol into the blank.

(1 point)
$

Answer 1

Let's first calculate the total cost for the group of 3 friends riding 8 rides each.

1. **Admission Cost**:
\[
\text{Admission Cost} = 3 \text{ friends} \times 8.25 = 24.75
\]

2. **Cost for 8 Rides Each**:
\[
\text{Cost of Rides} = 3 \text{ friends} \times 8 \text{ rides} \times 1.50 = 3 \times 8 \times 1.50 = 36.00
\]

3. **Total Cost for 8 Rides Each**:
\[
\text{Total Cost for 8 rides} = \text{Admission Cost} + \text{Cost of Rides} = 24.75 + 36.00 = 60.75
\]

Now, let's calculate the total cost for the group of 3 friends riding 3 rides each.

1. **Admission Cost**: (Same as before)
\[
\text{Admission Cost} = 3 \text{ friends} \times 8.25 = 24.75
\]

2. **Cost for 3 Rides Each**:
\[
\text{Cost of Rides} = 3 \text{ friends} \times 3 \text{ rides} \times 1.50 = 3 \times 3 \times 1.50 = 13.50
\]

3. **Total Cost for 3 Rides Each**:
\[
\text{Total Cost for 3 rides} = \text{Admission Cost} + \text{Cost of Rides} = 24.75 + 13.50 = 38.25
\]

Now, we can find the difference in costs between the two scenarios:

\[
\text{Difference in Cost} = \text{Total Cost for 8 rides} - \text{Total Cost for 3 rides}
\]
\[
\text{Difference in Cost} = 60.75 - 38.25 = 22.50
\]

Thus, it will cost $22.50 more for the group of 3 friends to ride 8 rides each than to ride 3 rides each.

**Final answer**: 22.50