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 10%. 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

Thats wrong

Explanation:

Find new values:

150(1+0.24)=\color{green}{186}

150(1+0.24)=186

150(1+0.06)=\color{blue}{159}

150(1+0.06)=159

Last Year This Year

Boys 150 186

Girls 150 159

Total 300 345

\text{Find overall increase:}

Find overall increase:

300(1+r)=345

300(1+r)=345

\frac{300(1+r)}{300}=\frac{345}{300}

300

300(1+r)

​

=

300

345

​

1+r=1.15

1+r=1.15

r=0.15

r=0.15

Subtract 1

\text{Final Answer: }15\%

Final Answer: 15%

Answer 2

Answer: 17%

Explanation:

Last year:

Number of boys = 150 boys

Number or girls = 150 girls.

Total = 300 students

This year:

Number of boys = 150 + (24% × 150)

= 150 + (0.24 × 150)

= 150 + 36

= 186

Number or girls = 150 + (10% × 150)

= 150 + (0.1 × 150)

= 150 + 15

= 165

Total students = 186 + 165 = 351

Percentage increase = (351 - 300) / 300 × 100

= 51 / 300 × 100

= 17%