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Last year at a certain high school, there were 130 ninth graders on the honor roll and 92 tenth graders on the honor roll. This year, the number of ninth graders on the honor roll increased by 20% and the number of tenth graders on the honor roll increased by 25%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary). Answer:

Last year at a certain high school, there were 130130 ninth graders on the honor roll and 9292 tenth graders on the honor roll. This year, the number of ninth graders on the honor roll increased by 20% 20 \% and the number of tenth graders on the honor roll increased by 25% 25 \% . By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).\newlineAnswer:

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Q. Last year at a certain high school, there were 130130 ninth graders on the honor roll and 9292 tenth graders on the honor roll. This year, the number of ninth graders on the honor roll increased by 20% 20 \% and the number of tenth graders on the honor roll increased by 25% 25 \% . By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).\newlineAnswer:
  1. Calculate ninth graders honor roll: Calculate the new number of ninth graders on the honor roll after a 2020% increase.\newlineLast year there were 130130 ninth graders on the honor roll. To find the new number, we increase 130130 by 20%20\%.\newline20%20\% of 130130 is (20/100)×130=26(20/100) \times 130 = 26.\newlineSo, the new number of ninth graders on the honor roll is 130+26=156130 + 26 = 156.
  2. Calculate tenth graders honor roll: Calculate the new number of tenth graders on the honor roll after a 2525\% increase.\newlineLast year there were 9292 tenth graders on the honor roll. To find the new number, we increase 9292 by 25%25\%.\newline25%25\% of 9292 is (25/100)×92=23(25/100) \times 92 = 23.\newlineSo, the new number of tenth graders on the honor roll is 92+23=11592 + 23 = 115.
  3. Calculate total students honor roll last year: Calculate the total number of students on the honor roll last year.\newlineThe total number of students on the honor roll last year was the sum of ninth and tenth graders on the honor roll, which is 130+92=222130 + 92 = 222.
  4. Calculate total students honor roll this year: Calculate the total number of students on the honor roll this year.\newlineThe total number of students on the honor roll this year is the sum of the new numbers of ninth and tenth graders on the honor roll, which is 156+115=271156 + 115 = 271.
  5. Calculate percentage increase honor roll: Calculate the percentage increase in the total number of students on the honor roll.\newlineTo find the percentage increase, we subtract the total number of students on the honor roll last year from the total number this year, then divide by last year's total and multiply by 100100.\newlineThe increase is 271−222=49271 - 222 = 49.\newlineThe percentage increase is (49/222)×100≈22.1%(49 / 222) \times 100 \approx 22.1\% (rounded to the nearest tenth).

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