garuhape wrote:Hi there, can someone help me please?
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?
a) 1
b) 3
c) 4
d) 6
e) 8
We can plug in the answer choices, which represent the number of red marbles in Bag A.
Let R=red, W=white, B=blue.
Answer choice C: R=4 in bag A
Bag A:
R:W = 1:3 = 4:12, so W=12.
Bag B:
Since the total number of white marbles is 30, W = 30-12 = 18.
Doesn't work, because R:W = 1:4, and 18 is not a multiple of 4.
Eliminate C.
Answer choice D: R=6 in bag A
Bag A:
R:W = 1:3 = 6:18, so W=18.
Bag B:
Since the total number of white marbles is 30, W = 30-18 = 12.
R:W = 1:4 = 3:12. So R=3.
Success!
The correct answer is
D.
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