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the ratio of red jelly beans to yellow is 3:4. If greg eats 3 red and 6 yellow, the ratio is 4:5. How many yellow jelly beans were originally in the dish?

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Red = X
Yellow = Y

X:Y = 3:4
X-3: Y-6 = 4:5

1. 3Y = 4X -> Y = 4/3X
2. 4*(Y-6) = 5*(X-3)

3. 4Y - 24 = 5X - 15 
4. 4*4/3X - 24 = 5X -15
5. 16/3X - 24 = 5X -15
6. 16X - 72 = 15X - 45
7. X = 27. So, Y = 36