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There are 250 boys and 150 girls in a school. If 60% of the boys and 40% of the girls play football, what percentage of the school plays football?

A: 40%

B: 42.2%

C: 50.0%

D: 52.5%

**Comments**

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Number of boys (n_{b}) = 250

Number of girls (n_{g}) = 150

Total number of boys and girls (T_{1}) = n_{b} + n_{g} = 250 + 150 = 400

Percentage of boys that palys football = 60%

Number of boys that plays football (n_{bf}) = 60% * n_{b} = 60/100 * 250 = 150

Percentage of girls that plays football = 40%

Number of girls that plays football (n_{gf}) = 40% * n_{g} = 40/100 * 150 = 60

Total number of boys and girls that plays football (T_{2}) = n_{bf} + n_{gf} = 150 + 60 = 210

Thus, the percentage of girls and boys that plays football = T_{1}/T_{2} * 100

= 210/400 * 100

= 52.5%

**Answer: D**

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