contestada

I need help along with explanation of your work in order to be marked as brainliest! This is ASAP and due by tomorrow!!!

Last year, the number of students in Oscar's class was 20% less than the number of students in Haoxi's class. This year, the enrollment in Oscar's class dropped by 25% and the enrollment in Haoxi's class dropped by 10%. Oscar now has 6 fewer students than Haoxi. How many students were in Haoxi's class last year?

Respuesta :

There were 17 students in Hoax's class last year.

Let x be the number of students in Oscar's class last year

Let y be the number of students in Haoxi's class last year

Last year, the number of students in Oscar's class was 20% less than the number of students in Haoxi's class.

x = y - 0.20* y

So x = 0.80 y ----------------> Equation 1

This year, the enrollment in Oscar's class dropped by 25% and the enrollment in Haoxi's class dropped by 10%. Oscar now has 6 fewer students than Haoxi

x is dropped by 25% so its 0.75x

y is dropped by 10% so its 0.90y

0.75x = 0.90y - 6

0.75x - 0.90y = -6 --------------> Equation 2

Plug in x value in the second equation and find out y

0.75 (0.80y) - 0.90y = -6

0.6 y - 0.9 y = -6

-0.3 y = -6

y = 20

the number of students in Haoxi's class last year = 20 students