SOLUTION: Carol puts some green and red unit cubes in a box. The ratio of the number of green cubes to the number of red cubes is 2:1. She adds 12 more red cubes in the box and the ratio bec

Question 199894: Carol puts some green and red unit cubes in a box. The ratio of the number of green cubes to the number of red cubes is 2:1. She adds 12 more red cubes in the box and the ratio becomes 4:5.
a) How many green cubes are there in the box?
b) How many red cubes does Carol have in the end?

Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
"The ratio of the number of green cubes to the number of red cubes is 2:1"
g = 2r

"She adds 12 more red cubes in the box and the ratio becomes 4:5"
5g = 4(r + 12) ___ 5g = 4r + 48

substituting ___ 5(2r) = 4r + 48 ___ 10r = 4r + 48 ___ 6r = 48 ___ r = 8

(a) g = 2(8) ___ g = 16

(b) r + 12 = 8 + 12 = 20
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