Question
A person who wants to get in shape goes to a local gym that advertises 35 training sessions for \( \$ 1233 \). Find the cost of 108 training sessions. Round your answer to the nearest cent. Check Answer
Ask by Bryant Ortiz. in the United States
Jan 27,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The cost of 108 training sessions is \$3,804.69.
Solution
To determine the cost of 108 training sessions based on the given information, follow these steps:
1. **Find the Cost per Session:**
\[
\text{Cost per session} = \frac{\$1233}{35} \approx \$35.22857
\]
2. **Calculate the Total Cost for 108 Sessions:**
\[
\text{Total cost} = 108 \times \$35.22857 \approx \$3804.68556
\]
3. **Round to the Nearest Cent:**
\[
\text{Total cost} \approx \$3804.69
\]
**Final Answer:**
The cost of 108 training sessions is **\$3,804.69**.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
To find the cost per training session, you divide the total cost by the number of sessions: \( \frac{1233}{35} \) which equals approximately \( \$ 35.23 \) per session. Now, multiply that by 108 to find the total cost for 108 sessions: \( 35.23 \times 108 = 3804.84 \). Therefore, the cost of 108 training sessions is \( \$ 3804.84 \). To check your answer, you can divide \( 3804.84 \) by 108 to ensure you get back to the per session cost. So, \( \frac{3804.84}{108} = 35.23 \), confirming your calculations are correct!
