Let’s solve each problem one by one, step by step.
---
Problem 1:
Harris has a bag of 100 balls. 59% are red. The rest are blue. How many blue balls?
Step 1: Find how many balls are red.
59% of 100 = (59/100) × 100 = 59 red balls.
Step 2: Subtract from total to get blue balls.
100 - 59 = 41 blue balls.
✔ Answer for #1:
41
---
Problem 2:
Shopkeeper bought 120 boxes. Sold 30% over weekend. How many sold?
Step 1: Find 30% of 120.
30% = 30/100 = 0.3
0.3 × 120 = 36
✔ Answer for #2:
36
---
Problem 3:
There are 50 students. 24 are taking math exam.
a) What percentage is taking the exam?
Step 1: Divide number taking exam by total students.
24 ÷ 50 = 0.48
Step 2: Convert to percent → multiply by 100.
0.48 × 100 = 48%
b) What percentage is NOT taking the exam?
Total % = 100%
So, 100% - 48% = 52%
✔ Answers for #3:
a)
48%
b)
52%
---
Problem 4:
Ahmed had 36 marbles. Lost 18. What percent left?
Step 1: Marbles left = 36 - 18 = 18
Step 2: Percent left = (left / original) × 100
= (18 / 36) × 100 = 0.5 × 100 = 50%
✔ Answer for #4:
50%
---
Problem 5:
Football team played 25 matches, won 16. Winning percentage?
Step 1: Winning % = (wins / total games) × 100
= (16 / 25) × 100
Step 2: 16 ÷ 25 = 0.64
0.64 × 100 = 64%
✔ Answer for #5:
64%
---
Final Answer:
1) 41
2) 36
3a) 48%
3b) 52%
4) 50%
5) 64%
Parent Tip: Review the logic above to help your child master the concept of percents word problems worksheet.
