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 24 white marbles. How many red marbles could be in bag A?	Choose the correct choice from the following.
A) 1  B) 3  C) 4  D) 6  E) 7
# of Red marbles in Bag A can be either 2 or 6. No 2 in the choices, so 6. D.   Bag A:   R:W:B = 2:6:9   Bag B   R:W = 1:4   6X + 4Y = 24 i.e 3X + 2Y = 12   X has to be odd to make an odd sum from the eq.   X = 2 , Y = 3 OR X = 4, Y = 0   So R can be 2X i.e 4 or 8.   Answer 4
<result>C</result>
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 24 white marbles. How many red marbles could be in bag A?