chaitanya.mehrotra wrote: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?
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We can plug in the answers, which represent the number of red marbles in bag A and will indicate the number of white marbles in Bag A, since R:W = 1:3.
Answer choices:
R.......W
1.......3
3.......9
4.......12
6.......18
8.......24
Since W:B = 2:3 in Bag A, the number of white marbles must be even.
Eliminate A and B.
The total number of white marbles is 30.
Since R:W = 1:4 in Bag B, the number of white marbles in Bag B must be a multiple of 4.
Answer choices C, D and E:
W(A)......W(B)
12............18
18............12
24............6
Only answer choice D yields a multiple of 4 for the number of white marbles in Bag B.
The correct answer is
D.
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