Question
7-64. Write and solve an equation for the situation below. Define any variables and write your solution as a sentence. Jennifer has a total of four and one half hours to spend on the beach swimming and playing volleyball. The time she spends playing volleyball will be twice the amount of time she spends swimming. How long will she do each activity?
Ask by Rogers Colon. in the United States
Feb 28,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Jennifer swims for 1.5 hours and plays volleyball for 3 hours.
Solution
Let s represent the time (in hours) Jennifer spends swimming. Since she spends twice as much time playing volleyball as swimming, the time she spends playing volleyball is 2s. The total time spent is given as:
s + 2s = 4.5
Simplifying, we have:
3s = 4.5
Dividing both sides by 3 gives:
s = 1.5
Since s = 1.5 hours (swimming), the time spent playing volleyball is:
2s = 2(1.5) = 3 hours
Answer: Jennifer swims for 1.5 hours and plays volleyball for 3 hours.
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Simplify this solution Bonus Knowledge
Let \( s \) represent the time in hours Jennifer spends swimming. Since she spends twice that time playing volleyball, we can express the time spent on volleyball as \( 2s \). The total time spent on both activities is given by the equation: \[ s + 2s = 4.5 \] This simplifies to: \[ 3s = 4.5 \] Now, dividing both sides by 3 gives: \[ s = 1.5 \] So, Jennifer spends 1.5 hours swimming and \( 2 \times 1.5 = 3 \) hours playing volleyball. In summary, Jennifer will swim for 1.5 hours and play volleyball for 3 hours.
