The ratio of girls to boys in Liza’s classroom is 5 to 4. How many girls are in her classroom if there is a total of 27 students

Respuesta :

27/5 and 27/4 so the ratio is 13 boys 14 girls

Answer:

[tex]15\ girls[/tex]

Step-by-step explanation:

Let

x-----> the number of girls

y-----> the number of boys

we know that

[tex]x+y=27[/tex] -----> equation A

[tex]\frac{x}{y}=\frac{5}{4}[/tex]

isolate the variable y

[tex]y=\frac{4}{5}x[/tex] -----> equation B

Substitute equation B in equation A

[tex]x+\frac{4}{5}x=27[/tex]

[tex]\frac{9}{5}x=27[/tex]

[tex]x=5*27/9=15\ girls[/tex]

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