Question
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
Upstudy AI Solution
Tutor-Verified Answer
Answer
Ylon has completed 12 math problems and had \$30 in his wallet.
Solution
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.
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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!