SOLUTION: If the ratio of boys to girls in a class is 3:8 will the ratio of boys to girls stay the same, increase or decrease if 2 boys and 2 girls are added? Explain your reasoning.

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: If the ratio of boys to girls in a class is 3:8 will the ratio of boys to girls stay the same, increase or decrease if 2 boys and 2 girls are added? Explain your reasoning.      Log On


   

Question 739487: If the ratio of boys to girls in a class is 3:8 will the ratio of boys to girls stay the same, increase or decrease if 2 boys and 2 girls are added? Explain your reasoning.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
If the ratio of boys to girls in a class is 3:8 will the ratio of boys to girls stay the same, increase or decrease if 2 boys and 2 girls are added?
:
Let 3x = original number of boys
let 8x = original number of girls
:
See if there is a value of x where this to be true
%283x%2B2%29%2F%288x%2B2%29 = 3%2F8
8(3x+2) = 3(8x+2)
24x + 16 = 24x + 6
obviously it can't be true (they can't be the same ratio)
:
assuming there are 3 boys and 8 girls originally
%283%2B2%29%2F%288%2B2%29 = 5%2F10 = .5; 3%2F8 = .375,
You decide which is the greater ratio