Question

Last year at a certain high school, there were 150 boys on the honor roll and 150 girls
on the honor roll. This year, the number of boys on the honor roll increased by 24%
and the number of girls on the honor roll increased by 6%. By what percentage did
the total number of students on the honor roll increase? Round your answer to the
nearest tenth (if necessary).

Answer 1

The percentage increase of students in the honor roll = 15%

Number of boys last year = 150

Number of girls last year = 150

Total boys and girls last year = 300

Number of boys on honor roll this year = 150 + (24% × 150)

                                                                 = 150 + (0.24 × 150)

                                                                 = 150 + 36

                                                                 = 186

Number of girls on honor roll this year = 150 + ( 6% × 150)

                                                                = 150 + ( 0.06 × 150)

                                                                = 150 + 9

                                                                = 159

The total students on the honor roll this year = 186 + 159 = 345

Percentage increase = (345 - 300)/ 300 ×100

                                   = 45/300 × 100

                                   = 15%

Therefore, the percentage increase in students on the honor roll is 15%

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