naomiloveskpop
contestada

At the start of a birthday party,there are 3 times more boys than girls. After 4 boys and 4 girls left the party,there were 4 times more boys than girls. How many boys were there at the start of the party

Respuesta :

calculista

Answer:

[tex]36\ boys[/tex]

Step-by-step explanation:

Let

x------> number of boys at the start of the party

y-----> number of girls at the start of the party

we know that

[tex]x=3y[/tex] ------> equation A

[tex](x-4)=4(y-4)[/tex] -----> equation B

substitute equation A in equation B and solve for y

[tex](3y-4)=4(y-4)[/tex]

[tex]3y-4=4y-16[/tex]

[tex]4y-3y=16-4[/tex]

[tex]y=12\ girls[/tex]

Find the value of x

[tex]x=3y[/tex]  ------> [tex]x=3(12)=36\ boys[/tex]

Otras preguntas