Last year at a certain high school, there were 100 boys on the honor roll and 84 girls on the honor roll. This year, the number of boys on the honor roll increased by 17% and the number of girls on the honor roll increased by 25%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).

Respuesta :

There are 20.65% of the total number of students increased on the honor roll.

What is Percentage?

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.

Here, For last year

         Total boys for honor roll = 100

          total girls for honor roll = 84

          total students for honor roll = 100+84 = 184

For present year,

      Boys for honor roll = 100 + 100X0.17 = 117

      Girls for honor roll = 84 + 84X0.25 = 105

      Total students = 117 + 105 = 222

Increment in total students = 222 - 184 = 38

% increment in total student = 38 X 100 / 184

                                                = 0.2065 X 100

                                                = 20.65 %

Thus, there are 20.65% of the total number of students increased on the honor roll.

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