Last year at a certain high school, there were 70 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 20% 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 70 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  20% 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 Increase Ninth Graders: Calculate the new number of ninth graders on the honor roll after a 20% increase. The original number of ninth graders on the honor roll is 70. To find the increase, multiply 70 by 20% (or 0.20). Increase for ninth graders = 70 * 0.20 = 14.Find New Total Ninth Graders: Add the increase to the original number of ninth graders to find the new total. New total of ninth graders on the honor roll = 70 + 14 = 84.Calculate Increase Tenth Graders: Calculate the new number of tenth graders on the honor roll after a 24% increase. The original number of tenth graders on the honor roll is 150. To find the increase, multiply 150 by 24% (or 0.24). Increase for tenth graders = 150 * 0.24 = 36.Find New Total Tenth Graders: Add the increase to the original number of tenth graders to find the new total. New total of tenth graders on the honor roll = 150 + 36 = 186.Calculate 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 + 150 = 220.Calculate Total This Year: Calculate the total number of students on the honor roll this year. Total this year = new total of ninth graders + new total of tenth graders = 84 + 186 = 270.Calculate Increase Total Students: Calculate the increase in the total number of students on the honor roll from last year to this year. Increase in total number of students = Total this year - Total last year = 270 - 220 = 50.Calculate Percentage Increase: Calculate the percentage increase in the total number of students on the honor roll. Percentage increase = (Increase in total number of students / Total last year) * 100 Percentage increase = (50 / 220) * 100 ≈ 22.7% (rounded to the nearest tenth).

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