+0

# Help

0
85
1

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

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 $$\boxed{12}.$$