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The ratio of boys and girls in a class 4 : 5 if the number of boys is 24, find the number of girls

  • A.20
  • B.19
  • C.16
  • D.30

Answer: D

The number of girls is 30.

Boys : girls = 4 : 5, and the 4 parts are 24 boys, so one part is 6:

\[ \begin{aligned} 4k &= 24 \Rightarrow k = 6 \\ \text{girls} &= 5k = 30 \end{aligned} \]

Check: 24 : 30 reduces to 4 : 5. Since girls outnumber boys in this ratio, any answer below 24 (20, 19 or 16) is impossible; 20 is the result of applying the ratio the wrong way round.

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