Bag A contains red, white and blue marbles such that the red to white marble ratio is 1:3 and the white to blue marble ratio is 2:3. Bag B contains red and white marbles in the ratio of 1:4. Together, the two bags contain 30 white marbles. How many red marbles could be in bag A?
BAG A
R/W=1/3=2/6
W/B=2/3=6/9
R/W/B=2/6/9=y
BAG B
R/W=1/4=x
6y+4x=30 --> 3y+2x=15
The two x:y pair would be (3:3) and (6:1)
How many red marbles could be in bag A?
y is either 1 or 3 so the answer is 6 or 18
