Question

at a country concert,the ratio of number of the Boys to the number of girls is 2:7 if there are 250 more girls than boys how many boys are at the concert​

Answer 1

100

Explanation:

Ratio is a fraction, so ratio of boys to girls would be written as [let boys be "b" and girls be "g"]:

`(b)/(g)=(2)/(7)`

Also, there are 250 more girls than boys, so we can write:

g = 250 + b

Lets substitute this into "g" of the ratio we wrote and cross mulitply and solve for b:

`(b)/(g)=(2)/(7)\\(b)/(250+b)=(2)/(7)\\7b=2(250+b)\\7b=500+2b\\5b=500\\b=(500)/(5)=100`

The number of boys = 100