SOLUTION: An urn contains x red balls and y green balls. if a ball is taken at random from the urn, the probability that it is red is 3/7. Write down an equation connecting x and y. if there

Algebra ->  Probability-and-statistics -> SOLUTION: An urn contains x red balls and y green balls. if a ball is taken at random from the urn, the probability that it is red is 3/7. Write down an equation connecting x and y. if there      Log On


   



Question 1163122: An urn contains x red balls and y green balls. if a ball is taken at random from the urn, the probability that it is red is 3/7. Write down an equation connecting x and y. if there had been 5 more red balls, the probability would have been 1/2. find x and y.
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
Instead of doing your problem for you, I'll do one exactly like it with
different numbers.  I'll do this one instead:

An urn contains x red balls and y green balls. if a ball is taken at random
from the urn, the probability that it is red is 3/5. Write down an equation
connecting x and y. if there had been 6 more red balls, the probability
would have been 9/13. find x and y.

-----------------------------------------------
An urn contains x red balls and y green balls. if a ball is taken at random
from the urn, the probability that it is red is 3/5.

x%2F%28x%2By%29=3%2F5
5x=3x%2B3y
2x=3y
x=3y%2F2

If there had been 6 more red balls, the probability would have been 9/13. find x and y.

%28x%2B6%29%2F%28x%2By%2B6%29=9%2F13
13x%2B78=9x%2B9y%2B54
4x-9y=-24

Substituting 3y/2 for x in

4x-9y=-24
4%283y%2F2%29-9y=-24
6y-9y=-24
-3y=-24
y=8

Substituting 8 for y in

x=3y%2F2
x=3%288%29%2F2
x=24%2F2
x=12

Edwin