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 28 white marbles. How many red marbles could be in bag A? Choices:
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 = 28 i.e 3X + 2Y = 14   X has to be odd to make an odd sum from the eq.   X = 2 , Y = 4 OR X = 4, Y = 1   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 28 white marbles. How many red marbles could be in bag A?