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jmc

prealgebra intermediate

Problem

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 of the number of its female bus riders? \begin{array}{|l|c|c|}\hline Grade & Males & Females \\ \hline $9^{\mathrm{th}}$ grade & $41.1\%$ & $39.4\%$ \\ \hline $10^{\mathrm{th}}$ grade & $34.4\%$ & $33.1\%$ \\ \hline $11^{\mathrm{th}}$ grade & $20.6\%$ & $13.8\%$ \\ \hline $12^{\mathrm{th}}$ grade & $11.6\%$ & $8.6\%$ \\ \hline \end{array}
Solution
The grade level in which the number of male bus riders is closest to of the number of female bus riders is the same grade level in which the percentage of male bus riders is closest to of the percentage of female bus riders. To find what percentage is of the percentage of female bus riders, we multiply each percentage by In ninth grade, the percentage is percent. In tenth grade, the percentage is percent. In eleventh grade, the percentage is percent. In twelfth grade, the percentage is percent. From inspection, we see that 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
Final answer
12