Last year at a certain high school, there were 50 ninth graders on the honor roll and 50 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 12%. 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 50 ninth graders on the honor roll and 50 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  12%. 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 ninth graders: Calculate the new number of ninth graders on the honor roll after a 10% decrease. Original number of ninth graders on the honor roll: 50 Percentage decrease: 10% New number of ninth graders = 50 - (10% of 50) = 50 - (0.10 × 50) = 50 - 5 = 45Calculate new tenth graders: Calculate the new number of tenth graders on the honor roll after a 12% decrease. Original number of tenth graders on the honor roll: 50 Percentage decrease: 12% New number of tenth graders = 50 - (12% of 50) = 50 - (0.12 × 50) = 50 - 6 = 44Calculate total last year: Calculate the total number of students on the honor roll last year. Total number of ninth and tenth graders on the honor roll last year: 50 + 50 = 100Calculate total this year: Calculate the total number of students on the honor roll this year. Total number of ninth and tenth graders on the honor roll this year: 45 + 44 = 89Calculate total decrease: Calculate the decrease in the total number of students on the honor roll. Decrease in number of students = 100 - 89 = 11Calculate percentage decrease: Calculate the percentage decrease in the total number of students on the honor roll. Percentage decrease = (Decrease in number of students / Original total number of students) × 100% = (11 / 100) × 100% = 11%

Full solution

More problems from Percent of change: word problems

Related topics