Question

The ratio of girls to boys in Liza’s classroom is 5

5
to 4
4
.

How many girls are in her classroom if there is a total of 27
27
stud

Answer 1

15 girls

Explanation:

Let

x ----> the number of girls in Liza's classroom

y ----> the number of boys in Liza's classroom

we know that

`(x)/(y)=(5)/(4)`

`x=(5)/(4)y` -----> equation A

`x+y=27` ----> equation B

solve the system by substitution

substitute equation A in equation B

`(5)/(4)y+y=27`

solve for y

`(9)/(4)y=27`

`y=27(4)/9\\\\y=12\ boys`

Find the value of x

`x=(5)/(4)(12)=15\ girls`