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Last year at a certain high school, there were 75 ninth graders on the honor roll and 90 tenth graders on the honor roll. This year, the number of ninth graders on the honor roll increased by 24% and the number of tenth graders on the honor roll increased by 20%. 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 7575 ninth graders on the honor roll and 9090 tenth graders on the honor roll. This year, the number of ninth graders on the honor roll increased by 24% 24 \% and the number of tenth graders on the honor roll increased by 20% 20 \% . 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 7575 ninth graders on the honor roll and 9090 tenth graders on the honor roll. This year, the number of ninth graders on the honor roll increased by 24% 24 \% and the number of tenth graders on the honor roll increased by 20% 20 \% . 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 Increase: Calculate the new number of ninth graders on the honor roll after a 24%24\% increase.\newlineThe original number of ninth graders on the honor roll was 7575. To find the increase, multiply 7575 by 24%24\% (or 0.240.24).\newline75×0.24=1875 \times 0.24 = 18\newlineAdd this increase to the original number to find the new total.\newline75+18=9375 + 18 = 93
  2. Calculate Tenth Graders Increase: Calculate the new number of tenth graders on the honor roll after a 2020% increase.\newlineThe original number of tenth graders on the honor roll was 9090. To find the increase, multiply 9090 by 20%20\% (or 0.200.20).\newline90×0.20=1890 \times 0.20 = 18\newlineAdd this increase to the original number to find the new total.\newline90+18=10890 + 18 = 108
  3. Calculate Last Year Total: Calculate the total number of students on the honor roll last year.\newlineAdd the number of ninth graders and tenth graders on the honor roll from last year.\newline7575 (ninth graders) + 9090 (tenth graders) = 165165
  4. Calculate This Year Total: Calculate the total number of students on the honor roll this year. Add the new number of ninth graders and tenth graders on the honor roll. 9393 (ninth graders) + 108108 (tenth graders) = 201201
  5. Calculate Percentage Increase: Calculate the percentage increase in the total number of students on the honor roll.\newlineSubtract last year's total from this year's total and divide by last year's total. Then multiply by 100100 to get the percentage.\newline(201−165)/165×100=36/165×100(201 - 165) / 165 \times 100 = 36 / 165 \times 100\newlineCalculate the division and multiplication to find the percentage increase.\newline36/165×100≈21.8181818...36 / 165 \times 100 \approx 21.8181818...\newlineRound to the nearest tenth.\newline≈21.8%\approx 21.8\%

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