Last year at a certain high school, there were 100 ninth graders on the honor roll and 150 tenth graders on the honor roll. This year, the number of ninth graders on the honor roll increased by 17% and the number of tenth graders on the honor roll increased by 24%. 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 100 ninth graders on the honor roll and 150 tenth graders on the honor roll. This year, the number of ninth graders on the honor roll increased by  17% and the number of tenth graders on the honor roll increased by  24%. 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 17% increase. Original number of ninth graders on the honor roll: 100 Percentage increase: 17% New number of ninth graders = 100 + (17% of 100) = 100 + (0.17 × 100) = 100 + 17 = 117Calculate New Tenth Graders: Calculate the new number of tenth graders on the honor roll after a 24% increase. Original number of tenth graders on the honor roll: 150 Percentage increase: 24% New number of tenth graders = 150 + (24% of 150) = 150 + (0.24 × 150) = 150 + 36 = 186Calculate Total Last Year: Calculate the total number of students on the honor roll last year. Total last year = Number of ninth graders + Number of tenth graders = 100 + 150 = 250Calculate Total This Year: Calculate the total number of students on the honor roll this year. Total this year = New number of ninth graders + New number of tenth graders = 117 + 186 = 303Calculate Increase: Calculate the increase in the total number of students on the honor roll. Increase = Total this year - Total last year = 303 - 250 = 53Calculate Percentage Increase: Calculate the percentage increase in the total number of students on the honor roll. Percentage increase = (Increase / Total last year) × 100% = (53 / 250) × 100% = 0.212 × 100% = 21.2%

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