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Greg and Josh want to go whitewater rafting in 3 weeks. Josh is able to save the \( \$ 480 \) he needs to go on the trip by saving the pay he received for 5 hours of work each week. Greg must save 8 hours worth of pay each week in order to have enough money. How much more money does Josh make than Greg? a. \( \$ 10 \) b. \( \$ 12 \) c. \( \$ 14 \) d. \( \$ 20 \) Please select the best answer from the choices provided

Ask by Brooks Gardner. in the United States
Mar 11,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Josh makes \$12 more per hour than Greg.

Solution

Let \( x \) be Josh's hourly pay and \( y \) be Greg's hourly pay. Since Josh saves the pay he receives for 5 hours of work each week and in 3 weeks he saves \(\$480\), the total for him is: \[ 5x \times 3 = 15x = 480 \] Solving for \( x \): \[ x = \frac{480}{15} = 32 \] For Greg, he must save 8 hours worth of pay each week in order to have enough money in 3 weeks. This means: \[ 8y \times 3 = 24y = 480 \] Solving for \( y \): \[ y = \frac{480}{24} = 20 \] The difference in their hourly wages is: \[ x - y = 32 - 20 = 12 \] Thus, Josh makes \(\$12\) more per hour than Greg. \(\boxed{\$12}\)

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The Deep Dive

To find the difference in money earned by Josh and Greg, we need to determine their hourly wages. Josh is saving \( \$ 480 \) by saving 5 hours of work each week for 3 weeks. That means he works a total of \( 5 \times 3 = 15 \) hours, and his total earnings are \( 480 \). His hourly wage can be calculated as: \[ \text{Hourly wage of Josh} = \frac{480}{15} = \$32 \text{ per hour} \] Greg needs to save up the same \( \$ 480 \), but he saves 8 hours of work each week for 3 weeks. He works a total of \( 8 \times 3 = 24 \) hours. His hourly wage calculation is: \[ \text{Hourly wage of Greg} = \frac{480}{24} = \$20 \text{ per hour} \] Now to find out how much more money Josh makes than Greg per hour: \[ \text{Difference} = 32 - 20 = \$12 \] Thus, the answer is \( b. \$ 12 \).

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