Interpreting pie charts (1) - Statistics (Handling Data) Maths ... - Free Printable

Problem 1: Toy Shop Sales

#### Given:
- The toy shop divides its toys into four groups: cuddly toys, board games, computer games, and puzzles.
- The pie chart shows the percentage of each type of toy sold in one day:
- Cuddly toys: 50%
- Board games: 25%
- Computer games: 14%
- Puzzles: 11%

#### Questions:
1. a) If 200 toys were sold altogether, how many were cuddly toys?
2. b) If 200 toys were sold altogether, how many were board games?
3. c) If one of the toys sold on that day were picked at random, what is the probability it would be a board game?

---

#### Solution:

##### Part (a): Number of cuddly toys sold
- Total toys sold = 200
- Percentage of cuddly toys sold = 50%

To find the number of cuddly toys sold:
\[
\text{Number of cuddly toys} = \left( \frac{50}{100} \right) \times 200 = 0.5 \times 200 = 100
\]

Answer:
\[
\boxed{100}
\]

##### Part (b): Number of board games sold
- Total toys sold = 200
- Percentage of board games sold = 25%

To find the number of board games sold:
\[
\text{Number of board games} = \left( \frac{25}{100} \right) \times 200 = 0.25 \times 200 = 50
\]

Answer:
\[
\boxed{50}
\]

##### Part (c): Probability of picking a board game
- The probability of picking a board game is the same as the percentage of board games sold, expressed as a fraction or decimal.

Given:
\[
\text{Percentage of board games} = 25\% = \frac{25}{100} = 0.25
\]

Thus, the probability of picking a board game is:
\[
\boxed{0.25}
\]

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Problem 2: Folk Singers at a Festival

#### Given:
- Folk singers at a festival came from England, Wales, Northern Ireland, and Scotland.
- The pie chart shows the percentage of singers from each area:
- England: 31%
- Wales: 22%
- Northern Ireland: 28%
- Scotland: 19%

#### Questions:
1. a) If 500 singers attended the festival, how many were from Northern Ireland?
2. b) If 500 singers attended the festival, how many were from Wales?

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#### Solution:

##### Part (a): Number of singers from Northern Ireland
- Total singers = 500
- Percentage of singers from Northern Ireland = 28%

To find the number of singers from Northern Ireland:
\[
\text{Number of singers from Northern Ireland} = \left( \frac{28}{100} \right) \times 500 = 0.28 \times 500 = 140
\]

Answer:
\[
\boxed{140}
\]

##### Part (b): Number of singers from Wales
- Total singers = 500
- Percentage of singers from Wales = 22%

To find the number of singers from Wales:
\[
\text{Number of singers from Wales} = \left( \frac{22}{100} \right) \times 500 = 0.22 \times 500 = 110
\]

Answer:
\[
\boxed{110}
\]

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Final Answers:

1. Toy Shop Sales:
- (a) \(\boxed{100}\)
- (b) \(\boxed{50}\)
- (c) \(\boxed{0.25}\)

2. Folk Singers at a Festival:
- (a) \(\boxed{140}\)
- (b) \(\boxed{110}\)