Question
Steve spent 96 minutes working in the yard, \( \frac{5}{8} \) of that time was spent trimming trees and bushes. He used half of the remaining time using the blower. How many minutes did Steve use the blower?
Ask by Page Coleman. in the United States
Jan 30,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Steve used the blower for 18 minutes.
Solution
To determine how many minutes Steve used the blower, let's break down the problem step by step.
1. **Total Time Spent Working:**
\[
\text{Total time} = 96 \text{ minutes}
\]
2. **Time Spent Trimming Trees and Bushes:**
\[
\text{Time trimming} = \frac{5}{8} \times 96 \text{ minutes}
\]
Calculate the time:
\[
\frac{5}{8} \times 96 = 5 \times 12 = 60 \text{ minutes}
\]
3. **Remaining Time After Trimming:**
\[
\text{Remaining time} = \text{Total time} - \text{Time trimming} = 96 - 60 = 36 \text{ minutes}
\]
4. **Time Used with the Blower:**
\[
\text{Time with blower} = \frac{1}{2} \times \text{Remaining time} = \frac{1}{2} \times 36 = 18 \text{ minutes}
\]
**Answer:** Steve used the blower for **18 minutes**.
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The Deep Dive
Steve spent \( \frac{5}{8} \) of 96 minutes trimming trees and bushes. That equals \( \frac{5}{8} \times 96 = 60 \) minutes. Now, to find the remaining time, subtract the trimming time from the total time: \( 96 - 60 = 36 \) minutes left. Since Steve used half of the remaining time with the blower, he spent \( \frac{1}{2} \times 36 = 18 \) minutes using the blower. Therefore, Steve used the blower for 18 minutes.