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Last year at a certain high school, there were 92 ninth graders on the honor roll and 110 tenth graders on the honor roll. This year, the number of ninth graders on the honor roll increased by 25% 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 9292 ninth graders on the honor roll and 110110 tenth graders on the honor roll. This year, the number of ninth graders on the honor roll increased by 25% 25 \% 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 9292 ninth graders on the honor roll and 110110 tenth graders on the honor roll. This year, the number of ninth graders on the honor roll increased by 25% 25 \% 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 25%25\% increase.\newlineOriginal number of ninth graders on the honor roll: 9292\newlinePercentage increase: 25%25\%\newlineTo find the new number, we multiply the original number by 11 plus the percentage increase (expressed as a decimal).\newlineNew number of ninth graders =92×(1+0.25)= 92 \times (1 + 0.25)
  2. Calculate New Ninth Graders: Perform the calculation for the new number of ninth graders.\newlineNew number of ninth graders = 92×1.2592 \times 1.25\newlineNew number of ninth graders = 115115
  3. Calculate Tenth Graders Increase: Calculate the new number of tenth graders on the honor roll after a 2020% increase.\newlineOriginal number of tenth graders on the honor roll: 110110\newlinePercentage increase: 20%20\%\newlineTo find the new number, we multiply the original number by 11 plus the percentage increase (expressed as a decimal).\newlineNew number of tenth graders = 110×(1+0.20)110 \times (1 + 0.20)
  4. Calculate New Tenth Graders: Perform the calculation for the new number of tenth graders.\newlineNew number of tenth graders = 110×1.20110 \times 1.20\newlineNew number of tenth graders = 132132
  5. 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 =92+110= 92 + 110
  6. Calculate Total Last Year: Perform the calculation for the total number of students on the honor roll last year.\newlineTotal last year = 202202
  7. 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\newlineTotal this year =115+132= 115 + 132
  8. Calculate Total This Year: Perform the calculation for the total number of students on the honor roll this year.\newlineTotal this year = 247247
  9. 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[\frac{(\text{Total this year} - \text{Total last year})}{\text{Total last year}}] \times 100
  10. Calculate Percentage Increase: Perform the calculation for the percentage increase.\newlinePercentage increase = [(247−202)/202]×100[(247 - 202) / 202] \times 100\newlinePercentage increase = [45/202]×100[45 / 202] \times 100
  11. Final Percentage Increase: Perform the final calculation to find the percentage increase.\newlinePercentage increase = 0.22277×1000.22277 \times 100\newlinePercentage increase = 22.27722.277\newlineRound to the nearest tenth: 22.3%22.3\%

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