Let's solve each of the word problems step by step. I'll show all work and include labels in the answers.
---
1) Michael and Jonathan made a total of $125 at work today. If Michael has $50, what percent of the money is Jonathan’s?
Step 1: Find how much Jonathan made.
Total = $125
Michael = $50
Jonathan = $125 - $50 =
$75
Step 2: Find what percent $75 is of $125.
Use the formula:
$$
\text{Percent} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
$$
$$
\frac{75}{125} \times 100 = 0.6 \times 100 = 60\%
$$
✔ Answer: Jonathan’s share is
60% of the total money.
---
2) If Chester ordered a pizza with 12 slices and ate 5 of them, what percentage of the pizza did he eat?
Step 1: Use the percent formula:
$$
\frac{5}{12} \times 100
$$
Step 2: Calculate:
$$
\frac{5}{12} = 0.4167 \quad \text{(rounded to 4 decimal places)}
$$
$$
0.4167 \times 100 = 41.67\%
$$
✔ Answer: Chester ate
41.67% of the pizza.
---
3) Theodore took a test with 200 questions on it and answered 165 of them correctly. What percentage of questions did Theodore get right?
Step 1: Use the percent formula:
$$
\frac{165}{200} \times 100
$$
Step 2: Simplify:
$$
\frac{165}{200} = 0.825
$$
$$
0.825 \times 100 = 82.5\%
$$
✔ Answer: Theodore got
82.5% of the questions right.
---
4) Franklin bought a book with 220 pages. If he read 40% of the pages on the first night, how many pages does he have left to read?
Step 1: Find how many pages he read:
$$
40\% \text{ of } 220 = \frac{40}{100} \times 220 = 0.4 \times 220 = 88 \text{ pages}
$$
Step 2: Subtract from total to find pages left:
$$
220 - 88 = 132 \text{ pages}
$$
✔ Answer: Franklin has
132 pages left to read.
---
5) You paid $36.20 for a sweater that originally cost $90.50. What percentage of the original price was the sweater on sale for?
Step 1: We want to find what percent $36.20 is of $90.50.
$$
\frac{36.20}{90.50} \times 100
$$
Step 2: Divide:
$$
\frac{36.20}{90.50} = 0.4 \quad \text{(exactly)}
$$
$$
0.4 \times 100 = 40\%
$$
✔ Answer: The sweater was on sale for
40% of the original price.
---
✔ Final Answers Summary:
1)
60%
2)
41.67%
3)
82.5%
4)
132 pages
5)
40%
---
Let me know if you'd like these formatted for printing or need explanations tailored for younger students!
Parent Tip: Review the logic above to help your child master the concept of percent word problems worksheets pdf.
