Last year at a certain high school, there were 96 boys on the honor roll and 85 girls on the honor roll. This year, the number of boys on the honor roll increased by 25% and the number of girls on the honor roll increased by 20%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).

Question

Mathematics

Houston Knox

5 March, 23:12

Last year at a certain high school, there were 96 boys on the honor roll and 85 girls on the honor roll. This year, the number of boys on the honor roll increased by 25% and the number of girls on the honor roll increased by 20%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).

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Answers (1)

Know the Answer?

Susan Beasley · Answer 1

Step-by-step explanation:

Originally=96boys 85girls

increase 96 by25% that is 125/100*96=115.2boys

increase 85 by 20%. 120/100*85=102girls

total number before increase=96boys+85girls=181pupils

after increase=115boys+102girls=217pupils

Percentage increase=increase/original number*100%

increase=217-181=36

36/181*100%

=19.889 (to the nearest tenth)

=19.9%