Answer:
15 girls
Step-by-step explanation:
Let
x ----> the number of girls in Liza's classroom
y ----> the number of boys in Liza's classroom
we know that
[tex]\frac{x}{y}=\frac{5}{4}[/tex]
[tex]x=\frac{5}{4}y[/tex] -----> equation A
[tex]x+y=27[/tex] ----> equation B
solve the system by substitution
substitute equation A in equation B
[tex]\frac{5}{4}y+y=27[/tex]
solve for y
[tex]\frac{9}{4}y=27[/tex]
[tex]y=27(4)/9\\\\y=12\ boys[/tex]
Find the value of x
[tex]x=\frac{5}{4}(12)=15\ girls[/tex]
