Math, asked by themaese7, 1 year ago

90% of runners who started a marathon completed it.Of those,30%are mens.If 270 mens completed the marathon,then how many total runners started the marathon

Answers

Answered by Sanskriti141
16
ANSWER
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Answered by Shubhendu8898
8

 <br />\text{Let the number  of runners be x } \\ \\ Marathon \  completed  = 90 \% \ of \ x \\ \\ = \frac{90}{100} \times  x \\ \\ = \frac{9x}{10} \\ \\ \text{Again,} \\ \\ 30\% \  of  \ \frac{9x}{10}  \text{are men} = 270 \\ \\ \frac{30}{100} \times  \frac{9x}{10} = 270 \\ \\ \frac{27x}{100} = 270  \\ \\ x = 1000  \\ \\ <br /> Therefore, \\ \\ \textbf{Number of runners  = 1000}

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