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The data in the table below shows the percent of bus riders in a survey of Central H.S. students; 300 males and 300 females in each grade were surveyed. For which grade is the number of its male bus riders closest to 135% the number of its female bus riders?

 

 Mar 4, 2021
edited by Guest  Mar 4, 2021
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The grade level in which the number of male bus riders is closest to \(135\%\) of the number of female bus riders is the same grade level in which the percentage of male bus riders is closest to \(135\%\) of the percentage of female bus riders. To find what percentage is  \(135\%\) of the percentage of female bus riders, we multiply each percentage by \(1.35.\) In ninth grade, the percentage is  \(39.4\cdot1.35=53.19\) percent. In tenth grade, the percentage is \(33.1\cdot1.35=44.685\) percent. In eleventh grade, the percentage is \(13.8\cdot1.35=18.63\) percent. In twelfth grade, the percentage is \(8.6\cdot1.35=11.61\) percent. From inspection, we see that \(135\%\) of the percentage of female bus riders in twelfth grade is closest to the percentage of male bus riders in twelfth grade. So the answer is \(\boxed{12}.\)

 Apr 5, 2021

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