Last year at a certain high school, there were 100 ninth graders on the honor roll and 150 tenth graders on the honor roll. This year, the number of ninth graders on the honor roll increased by 17% and the number of tenth graders on the honor roll increased by 24%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).Answer: ◻
Q. Last year at a certain high school, there were 100 ninth graders on the honor roll and 150 tenth graders on the honor roll. This year, the number of ninth graders on the honor roll increased by 17% and the number of tenth graders on the honor roll increased by 24%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).Answer: ◻
Ninth Graders Honor Roll Increase: Last year's ninth graders on honor roll: 100 Increase by 17% this year: 100×0.17=17 New number of ninth graders on honor roll: 100+17=117
Tenth Graders Honor Roll Increase: Last year's tenth graders on honor roll: 150 Increase by 24% this year: 150×0.24=36 New number of tenth graders on honor roll: 150+36=186
Total Students Honor Roll Last Year: Total number of students on honor roll last year: 100+150=250Total number of students on honor roll this year: 117+186=303
Total Students Honor Roll This Year: Increase in total number of students on honor roll: 303−250=53Percentage increase: \frac{\(53\)}{\(250\)} \times \(100 = 21.2\%$
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