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Last year at a certain high school, there were 124 ninth graders on the honor roll and 120 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 5%. 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 124124 ninth graders on the honor roll and 120120 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 5% 5 \% . 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 124124 ninth graders on the honor roll and 120120 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 5% 5 \% . 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.\newlineThe original number of ninth graders on the honor roll was 124124. To find the new number, we increase it by 25%25\%.\newlineIncrease = 25%25\% of 124124 = 0.25×124=310.25 \times 124 = 31\newlineNew number of ninth graders = original number + increase = 124+31=155124 + 31 = 155
  2. Calculate Tenth Graders Increase: Calculate the new number of tenth graders on the honor roll after a 55% increase.\newlineThe original number of tenth graders on the honor roll was 120120. To find the new number, we increase it by 5%5\%.\newlineIncrease = 5%5\% of 120120 = 0.05×120=60.05 \times 120 = 6\newlineNew number of tenth graders = original number + increase = 120+6=126120 + 6 = 126
  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 =124+120=244= 124 + 120 = 244
  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 =155+126=281= 155 + 126 = 281
  5. Calculate Total Increase: Calculate the increase in the total number of students on the honor roll.\newlineIncrease in total = total this year - total last year = 281−244=37281 - 244 = 37
  6. Calculate Percentage Increase: Calculate the percentage increase in the total number of students on the honor roll.\newlinePercentage increase =(increase in totaltotal last year)×100=(37244)×100= (\frac{\text{increase in total}}{\text{total last year}}) \times 100 = (\frac{37}{244}) \times 100\newlinePercentage increase ≈15.16%\approx 15.16\%\newlineRound to the nearest tenth: 15.2%15.2\%

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