SOLUTION: A box contains 5 red, 6 blue, 3 green, and 2 yellow crayons. How many red crayons must be added to the box so that the probability of randomly picking a red crayon is 2/3?

Algebra ->  Probability-and-statistics -> SOLUTION: A box contains 5 red, 6 blue, 3 green, and 2 yellow crayons. How many red crayons must be added to the box so that the probability of randomly picking a red crayon is 2/3?      Log On


   



Question 443598: A box contains 5 red, 6 blue, 3 green, and 2 yellow crayons. How many red crayons must be added to the box so that the probability of randomly picking a red crayon is 2/3?
Answer by swincher4391(1107) About Me  (Show Source):
You can put this solution on YOUR website!
Our current probability is 5 reds / (5+6+3+2) crayons
or 5/16 .
Let x be the number of crayons needed to be added.
Then, %285%2Bx%29%2F%2816%2Bx%29+=+2%2F3
cross-multiply to get:
3%285%2Bx%29+=+2%2816%2Bx%29
15%2B3x+=+32+%2B+2x
highlight%28x+=+17%29