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

Answer:

100

Step-by-step explanation:

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

$\frac{b}{g}=\frac{2}{7}$

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:

$\frac{b}{g}=\frac{2}{7}\\\frac{b}{250+b}=\frac{2}{7}\\7b=2(250+b)\\7b=500+2b\\5b=500\\b=\frac{500}{5}=100$

The number of boys = 100