Last year at a certain high school, there were 70 ninth graders on the honor roll and 125 tenth graders on the honor roll. This year, the number of ninth graders on the honor roll decreased by 10% and the number of tenth graders on the honor roll decreased by 8%. By what percentage did the total number of students on the honor roll decrease? Round your answer to the nearest tenth (if necessary). Answer:

Question

Last year at a certain high school, there were 70 ninth graders on the honor roll and 125 tenth graders on the honor roll. This year, the number of ninth graders on the honor roll decreased by  10% and the number of tenth graders on the honor roll decreased by  8%. By what percentage did the total number of students on the honor roll decrease? Round your answer to the nearest tenth (if necessary). Answer:

Bytelearn · Accepted Answer

Calculate New Number: Calculate the new number of ninth graders on the honor roll after a 10% decrease. Original number of ninth graders on the honor roll: 70 Percentage decrease: 10% New number of ninth graders = 70 - (10% of 70) = 70 - (0.10 × 70) = 70 - 7 = 63Calculate New Number: Calculate the new number of tenth graders on the honor roll after an 8% decrease. Original number of tenth graders on the honor roll: 125 Percentage decrease: 8% New number of tenth graders = 125 - (8% of 125) = 125 - (0.08 × 125) = 125 - 10 = 115Calculate 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 = 70 + 125 = 195Calculate 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 = 63 + 115 = 178Calculate Decrease: Calculate the decrease in the total number of students on the honor roll. Decrease = Total last year - Total this year = 195 - 178 = 17Calculate Percentage Decrease: Calculate the percentage decrease in the total number of students on the honor roll. Percentage decrease = (Decrease / Total last year) × 100% = (17 / 195) × 100% = 0.08717948718 × 100% = 8.717948718% Round to the nearest tenth: 8.7%

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