Last year at a certain high school, there were 65 ninth graders on the honor roll and 132 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:

Question

Last year at a certain high school, there were 65 ninth graders on the honor roll and 132 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:

Bytelearn · Accepted Answer

Calculate New Ninth Graders: Calculate the new number of ninth graders on the honor roll after a 20% increase. Original number of ninth graders on the honor roll: 65 Percentage increase: 20% New number of ninth graders = 65 + (20% of 65) = 65 + (0.20 × 65) = 65 + 13 = 78Calculate New Tenth Graders: Calculate the new number of tenth graders on the honor roll after a 25% increase. Original number of tenth graders on the honor roll: 132 Percentage increase: 25% New number of tenth graders = 132 + (25% of 132) = 132 + (0.25 × 132) = 132 + 33 = 165Total Students Last Year: Calculate the total number of students on the honor roll last year. Total last year = 65 (ninth graders) + 132 (tenth graders) = 197Total Students This Year: Calculate the total number of students on the honor roll this year. Total this year = 78 (new ninth graders) + 165 (new tenth graders) = 243Increase in Total Students: Calculate the increase in the total number of students on the honor roll. Increase = Total this year - Total last year = 243 - 197 = 46Percentage Increase: Calculate the percentage increase in the total number of students on the honor roll. Percentage increase = (Increase / Total last year) × 100% = (46 / 197) × 100% = 0.233502538071066 × 100% = 23.3502538071066% Round to the nearest tenth: 23.4%

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