Respuesta :
The total number of students on the nonor roll decreases by 10.6%
EXPLANATION
Last year
Number of boys on honor roll = 100
Number of girls on honor roll= 60
Total number of students on honor roll= 100 + 60 = 160
This year
Number of boys on honor roll = 100 - 11% of 100
=100 - 11
= 89
Nmber of girls on honor roll = 60 - 10% of 60
= 60 - 6
=54
Total number of students on honor roll = 89 + 54 = 143
We can now proceed to find the percentage decrease using the formula below:
[tex]\text{Percentage decrease=}\frac{\text{New value - Original value}}{\text{Original value}}\times100\text{ \%}[/tex][tex]=\frac{143-160}{160}\times100\text{ \%}[/tex][tex]=\frac{-17}{160}\times100\text{ \%}[/tex][tex]\approx-10.6\text{ \%}[/tex]Therefore, the total number of students on the nonor roll decreases by 10.6%
