The pie chart shows the number boys, girls, men and women who were in a cinema. There were 180 girls in the cinema. How many boys were there?

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Worked solution

10

1. Determine the percentage of boys from the pie chart angle

The sector for boys has a right angle (90∘90^\circ).
Percentage of boys = 90∘360∘×100%=25%\frac{90^\circ}{360^\circ} \times 100\% = 25\%

2. Find the total number of people using the girls' percentage

Girls represent 15%15\% of the total.
15%→18015\% \rightarrow 180
1%→18015=121\% \rightarrow \frac{180}{15} = 12
Total number of people (100%100\%) = 12×100=120012 \times 100 = 1200

3. Calculate the number of boys

Number of boys = 25%25\% of 12001200
=25100×1200=300= \frac{25}{100} \times 1200 = 300

Answer

300300 (option 3)

AI analysis — may contain mistakes.

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