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Last year at a certain high school, there were 100 ninth graders on the honor roll and 95 tenth graders on the honor roll. This year, the number of ninth graders on the honor roll increased by 5% 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 100100 ninth graders on the honor roll and 9595 tenth graders on the honor roll. This year, the number of ninth graders on the honor roll increased by 5% 5 \% 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 100100 ninth graders on the honor roll and 9595 tenth graders on the honor roll. This year, the number of ninth graders on the honor roll increased by 5% 5 \% 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 5%5\% increase.\newlineOriginal number of ninth graders on the honor roll: 100100\newlinePercentage increase: 5%5\%\newlineNew number of ninth graders = Original number + (Original number ×\times Percentage increase)\newlineNew number of ninth graders = 100+(100×0.05)100 + (100 \times 0.05)\newlineNew number of ninth graders = 100+5100 + 5\newlineNew number of ninth graders = 105105
  2. Calculate Tenth Graders Increase: Calculate the new number of tenth graders on the honor roll after a 20%20\% increase.\newlineOriginal number of tenth graders on the honor roll: 9595\newlinePercentage increase: 20%20\%\newlineNew number of tenth graders == Original number ++ (Original number ×\times Percentage increase)\newlineNew number of tenth graders =95+(95×0.20)= 95 + (95 \times 0.20)\newlineNew number of tenth graders =95+19= 95 + 19\newlineNew number of tenth graders =114= 114
  3. Calculate Total Last Year: Calculate the total number of students on the honor roll last year.\newlineTotal last year == Number of ninth graders ++ Number of tenth graders\newlineTotal last year =100+95= 100 + 95\newlineTotal last year =195= 195
  4. Calculate Total This Year: Calculate the total number of students on the honor roll this year.\newlineTotal this year =New number of ninth graders+New number of tenth graders= \text{New number of ninth graders} + \text{New number of tenth graders}\newlineTotal this year =105+114= 105 + 114\newlineTotal this year =219= 219
  5. Calculate Percentage Increase: Calculate the percentage increase in the total number of students on the honor roll.\newlinePercentage increase = [(Total this year−Total last year)/Total last year]×100[(\text{Total this year} - \text{Total last year}) / \text{Total last year}] \times 100\newlinePercentage increase = [(219−195)/195]×100[(219 - 195) / 195] \times 100\newlinePercentage increase = [24/195]×100[24 / 195] \times 100\newlinePercentage increase \approx 1212.30773077\newlineRound to the nearest tenth: \approx 1212.33\%

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