Question

The ratio of 7th grade students to 8th grade students in a soccer league is 17:23. If there are 200 students in all, how many are in the 7th grade?

Answer 1

Let `x` be the number of 7th grade students and `y` be the number of 8th grade students.

`{(17x = 23y), (x + y = 200):}`

`y = 200 - x`

`17x = 23(200 - x)`

`17x = 4600 - 23x`

`40x = 4600`

`x = 115`

So, there are `115` students in 7th grade.

Hopefully this helps!