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"]:
[tex]\frac{b}{g}=\frac{2}{7}[/tex]
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:
[tex]\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[/tex]
The number of boys = 100
