Question

in a middle school glee club, 2/5 of the singers are sopranos, 1/3 are altos, and the rest are tenors. If there are 90 students in the glee club how many of them are tenors?

Answer 1

i believe the answer is 24.

Answer 2

Let's assume

number of tenors is x

total number of students =90

2/5 of the singers are sopranos

so, total number of sopranos are

`=(2)/(5) *90`

1/3 are altos

so, total number of altos are

`=(1)/(3) *90`

we know that

total number of sopranos + total number of altos +total number of tenors = total number of student

we get

`(2)/(5) *90+(1)/(3) *90 +x=90`

now, we can solve for x

`36+30 +x=90`

`66+x=90`

`x=24`

Hence ,

number of tenors is 24.............Answer