The total number of students who play football in a district is 31700. If the ratio of boys playing football to the girls playing football in the district is 743 : 842 respectively, what is the total number of girls playing football?

A 14860

B 16480

C 15340

D 18600

E None of these

Solution

Correct Answer: Option E

Total football players = 31700

Boys : Girls = 743 : 842

Let boys = 743x and girls = 842x

∴total = 1585x = 31700

∴ x = 20

⇒ Girls = 842 × 20 = 16840

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