Respuesta :
We can setup an equation for this.
Boys to Girls = 2:7
Boys = x
Girls = 250+x
Setup the ratio
x:(250+x) = 2:7
x / (250+x) = 2/7
7x = 500+2x
7x-2x = 500
x = 500/5 =100
There are 100 boys at the concert
Boys to Girls = 2:7
Boys = x
Girls = 250+x
Setup the ratio
x:(250+x) = 2:7
x / (250+x) = 2/7
7x = 500+2x
7x-2x = 500
x = 500/5 =100
There are 100 boys at the concert
Answer:
100 boys at the concert
Step-by-step explanation:
At a country concert, the ratio of the number of boys to girls is 2:7
Let 'b' be the number of boys in the concert
there are 250 more girls than boys
so b+250 are the number of girls in the concert
the ratio of boys to girls is b: b+250
Now make a proportion using the ratio
[tex]\frac{2}{7} =\frac{b}{b+250}[/tex]
Now solve for b . cross multiply the fraction
[tex](b+250) \cdot 2= 7 \cdot b[/tex]
[tex]2b+500= 7b[/tex]
Subtract 2b from both sides
[tex]5b= 500[/tex]
Divide both sides by 5
b=100
So there are 100 boys at the concert
