Sure! Let’s solve each part step by step and explain the reasoning clearly.
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Problem 1: Toy Shop Sales
We are told that 200 toys were sold in total, divided into four categories with these percentages:
- Cuddly toys: 50%
- Board games: 25%
- Computer games: 14%
- Puzzles: 11%
*(Note: 50% + 25% + 14% + 11% = 100%, so all categories are accounted for.)*
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a) How many were cuddly toys?
Cuddly toys make up
50% of total sales.
To find 50% of 200:
> 50% = 50/100 = 0.5
> 0.5 × 200 =
100
✔ Answer: 100 cuddly toys
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b) How many were board games?
Board games make up
25% of total sales.
To find 25% of 200:
> 25% = 25/100 = 0.25
> 0.25 × 200 =
50
✔ Answer: 50 board games
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c) Probability it would be a board game if picked at random
Probability = (Number of favorable outcomes) / (Total number of outcomes)
Since we’re picking one toy at random from all 200, and 50 of them are board games:
> Probability = 50 / 200 = 0.25
Or, since the percentage already tells us the proportion:
> 25% = 0.25 =
1/4
✔ Answer: 0.25 or 1/4
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Problem 2: Folk Singers at Festival
Total singers = 500
Percentages by area:
- England: 31%
- Wales: 22%
- Northern Ireland: 28%
- Scotland: 19%
*(Check: 31 + 22 + 28 + 19 = 100% — good!)*
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a) How many were from Northern Ireland?
Northern Ireland =
28% of 500
> 28% = 28/100 = 0.28
> 0.28 × 500 =
140
✔ Answer: 140 singers from Northern Ireland
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b) How many were from Wales?
Wales =
22% of 500
> 22% = 22/100 = 0.22
> 0.22 × 500 =
110
✔ Answer: 110 singers from Wales
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✔ Final Answers Summary:
Problem 1:
a) 100 cuddly toys
b) 50 board games
c) Probability = 0.25 (or 1/4)
Problem 2:
a) 140 from Northern Ireland
b) 110 from Wales
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Let me know if you’d like to visualize this with pie chart segments or need help converting percentages to degrees for drawing pie charts!
Parent Tip: Review the logic above to help your child master the concept of pie chart problems worksheet.
