Question

2. The ratio of 7th graders to 8th graders in student council is 2:3.

If there are 51 8th grade students in student council, what is the
total number of students in student council?

Help me please thank you kindly

Answer 1

85 students

Explanation:

Given

`7th : 8th =2 : 3`

`8th = 51`

Required

Find the total number of students

We have:

`7th : 8th =2 : 3`

Substitute:
`8th = 51`

`7th: 51 = 2 : 3`

Express as fraction

`(7th)/(51) = (2 )/( 3)`

Multiply both sides by 51

`51 * (7th)/(51) = (2 )/( 3) * 51`

`7th= (2 )/( 3) * 51`

`7th= 2 *17`

`7th= 34`

So, the total is:

`Total = 7th + 8th`

`Total = 34 + 51`

`Total = 85`