Pregunta
Ive problems 4 and 5 . Show your work. ylon has 20 math problems for homework. He has cornpleted \( 60 \% \) of the oblems so far. How many problems has he completed? spends \( \$ 9 \) on his lunch. This is \( 30 \% \) of the money he had in his wallet.
Ask by Black Wright. in the United States
Feb 21,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
Ylon has completed 12 math problems and had \$30 in his wallet.
Solución
Let's solve each problem step by step.
### Problem 4:
**Known Conditions:**
- Total math problems: \( 20 \)
- Percentage completed: \( 60\% \)
**Step 1: Calculate the number of problems completed.**
To find the number of problems completed, we can use the formula:
\[
\text{Completed Problems} = \text{Total Problems} \times \left(\frac{\text{Percentage Completed}}{100}\right)
\]
Substituting the known values:
\[
\text{Completed Problems} = 20 \times \left(\frac{60}{100}\right)
\]
**Step 2: Perform the calculation.**
Calculating the above expression:
\[
\text{Completed Problems} = 20 \times 0.6 = 12
\]
**Conclusion for Problem 4:**
Ylon has completed \( 12 \) problems.
---
### Problem 5:
**Known Conditions:**
- Amount spent on lunch: \( 9 \)
- Percentage of total money: \( 30\% \)
**Step 1: Calculate the total amount of money in the wallet.**
To find the total amount of money, we can use the formula:
\[
\text{Total Money} = \frac{\text{Amount Spent}}{\frac{\text{Percentage}}{100}}
\]
Substituting the known values:
\[
\text{Total Money} = \frac{9}{\frac{30}{100}} = \frac{9}{0.3}
\]
**Step 2: Perform the calculation.**
Calculating the above expression:
\[
\text{Total Money} = \frac{9}{0.3} = 30
\]
**Conclusion for Problem 5:**
He had \( 30 \) dollars in his wallet.
---
### Summary of Solutions:
- Ylon has completed \( 12 \) math problems.
- He had \( 30 \) dollars in his wallet.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Beyond the Answer
To figure out how many problems Ylon has completed, you take \( 60\% \) of the total problems. So, you calculate \( 60\% \) of \( 20 \) by multiplying \( 20 \times 0.6 \), which equals \( 12 \). Therefore, Ylon has completed \( 12 \) problems! For the second problem, if \( \$ 9 \) is \( 30\% \) of the total money he had, you can find the total amount by dividing \( 9 \) by \( 0.3 \). This gives you \( 9 \div 0.3 = 30 \). So, Ylon had \( \$ 30 \) in his wallet originally!
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