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 10 rides each than to ride 4 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.

Answer 1

To find out how much more it will cost a group of 3 friends to ride 10 rides each than to ride 4 rides each, we need to calculate the total costs for both scenarios.

1. Cost for 3 friends riding 10 rides each:

   • Admission cost for 3 friends: \[ 3 \text{ friends} \times 8.25 \text{ dollars} = 24.75 \text{ dollars} \]
   • Cost of rides for 10 rides each: \[ 3 \text{ friends} \times 10 \text{ rides} \times 1.50 \text{ dollars} = 3 \times 10 \times 1.50 = 45 \text{ dollars} \]
   • Total cost for 3 friends riding 10 rides each: \[ 24.75 + 45 = 69.75 \text{ dollars} \]

2. Cost for 3 friends riding 4 rides each:

   • Admission cost for 3 friends (same as above): \[ 3 \times 8.25 = 24.75 \text{ dollars} \]
   • Cost of rides for 4 rides each: \[ 3 \text{ friends} \times 4 \text{ rides} \times 1.50 \text{ dollars} = 3 \times 4 \times 1.50 = 18 \text{ dollars} \]
   • Total cost for 3 friends riding 4 rides each: \[ 24.75 + 18 = 42.75 \text{ dollars} \]

3. Difference in cost between the two scenarios: \[ 69.75 - 42.75 = 27 \text{ dollars} \]

Thus, the cost difference is 27.00 dollars. The final answer is:

\[ \boxed{27} \]