Bag A contains red, white and blue marbles such that the red to white marble ratio is 1:3 and the ...
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 26 white marbles. How many red marbles could be in bag A?
Answer/Solution
2
Steps/Work
# 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 = 26 i.e 3X + 2Y = 13
X has to be odd to make an odd sum from the eq.
X = 1 , Y = 5 OR X = 3, Y = 2
So R can be 2X i.e 2 or 6.
Answer D
Bag A:
R:W:B = 2:6:9
Bag B
R:W = 1:4
6X + 4Y = 26 i.e 3X + 2Y = 13
X has to be odd to make an odd sum from the eq.
X = 1 , Y = 5 OR X = 3, Y = 2
So R can be 2X i.e 2 or 6.
Answer D