Pregunta
Roger went shoe shopping with his cousins Derek and Kamal. Roger bought a par of baskethall shoes that cost \( \$ 7495 \). Derek spent \( \$ 24.55 \) more than Roger on a por of nunning ahoes Kamal bought the same nunning shoes as Derek. Since he had a coupon, Kamal paid \( \frac{4}{5} \) as much as Derek for the shoes. How much money did Kamal spend on nunning shoes?
Ask by Delgado Dawson. in the United States
Jan 25,2025
Solución de tutoría real
Respuesta verificada por el tutor
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Kamal spent \$6015.64 on running shoes.
Solución
To find out how much money Kamal spent on running shoes, we need to follow the given information step by step.
1. Roger bought a pair of basketball shoes that cost $7495.
2. Derek spent $24.55 more than Roger on a pair of running shoes.
3. Kamal bought the same pair of running shoes as Derek.
4. Kamal paid \( \frac{4}{5} \) as much as Derek for the shoes.
Let's denote the cost of the running shoes as \( x \).
From the information given:
1. Roger's cost: \( 7495 \)
2. Derek's cost: \( 7495 + 24.55 = 7519.55 \)
3. Kamal's cost: \( \frac{4}{5} \times 7519.55 \)
Now, we can calculate the cost of the running shoes for Kamal.
Calculate the value by following steps:
- step0: Calculate:
\(\frac{4}{5}\times 7519.55\)
- step1: Convert the expressions:
\(\frac{4}{5}\times \frac{150391}{20}\)
- step2: Multiply the numbers:
\(\frac{150391}{25}\)
Kamal spent \( \$6015.64 \) on running shoes.
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Bonus Knowledge
Derek spent \( \$ 7495 + \$ 24.55 = \$ 7519.55 \) on his running shoes. Since Kamal had a coupon that allowed him to pay \( \frac{4}{5} \) of Derek's price, we calculate Kamal's expenditure as follows: \[ Kamal's \, Spending = \frac{4}{5} \times 7519.55 = 6015.64 \] So, Kamal spent \( \$ 6015.64 \) on his running shoes. Keep those calculators handy, because shopping math can get tricky! Remember to keep track of any coupons or discounts to snag the best deals without breaking the bank.
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