Last year at a certain high school, there were 50 boys on the honor roll and 100 girls
on the honor roll. This year, the number of boys on the honor roll decreased by 8%
and the number of girls on the honor roll decreased by 15%. By what percentage did
the total number of students on the honor roll decrease? Round your answer to the
nearest tenth (if necessary).

Last year at a certain high school there were 50 boys on the honor roll and 100 girls on the honor roll This year the number of boys on the honor roll decreased class=

Respuesta :

Answer:

21.6% ( THIS IS WHAT DELTA MATH TOLD ME AFTER THE OTHER ANSWER WAS WRONG)

Step-by-step explanation:

84(1−0.25)=63

50(1−0.16)=42

Last Year This Year

Boys 84 63

Girls 50 42

Total 134 105

Find overall decrease:

134(1-r)=105

134(1−r)=105

134

134(1−r)

​  

=  

134

105

​  

 

1-r=0.783582  

−r=−0.216418

Subtract 1

r=0.216418  

Divide by -1

21.6\%

Final Answer: 21.6%

Multiply by 100 and round to nearest 10th