Question

Last year at a certain high school, there were 140 boys on the honor roll and 100 girls on the honor roll. This year, the number of boys on the honor roll decreased by 25% and the number of girls on the honor roll decreased by 6%. By what percentage did the total number of students on the honor roll decrease? Round your answer to the nearest tenth (if necessary).

Answer 1

• Answer:

The percentage Decreased in the total number of Students on the Honor Roll is Approximately:

17.1%

Explanation:

• Make a Plan:

In this equation, we need to calculate the total number of students on the Honor Roll Last year and This Year.

Then, Calculate the Percentage (%) decreased.

• Solve the Problem:

Last year at a particular high school, there were 140 Boys on the Honor Roll and 100 Girls on the Honor Roll.

• We can get the total number of students on the Honor Roll Last Year:

140 + 100 = 240

• This year, The number of Boys on the Honor Roll Decreased By:

25%

• The Number of Girls on the Honor Roll Decreased By:

6%

• We can get the number of Boys on the Honor Roll This Year:

140 - 0.25 * 140 = 105

• We can get the number of Girls on the Honor Roll This Year:

100 - 0.06 * 100 = 94

• Now: The total number of students on the Honor Roll This Year:

105 + 94 = 199

140 * 25% + 100 * 6% / 140 + 100

= 41/100

= 17.1%

• By calculating the Percentage (%) Decreased, Now we can get:

240 - 199 / 240 * 100% = 17.1%

• Draw the conclusion:

The percentage Decreased in the total number of Students on the Honor Roll is Approximately:

17.1%

I hope this helps you!