Bunuel
If there are only red, blue, and green marbles in a jar, what is the ratio of red to blue marbles?
(1) The ratio of red to green marbles is 2:3.
(2) The ratio of green to blue marbles is 6:5.
Let R = # of red marbles
Let B = # of blue marbles
Let G = # of green marblesTarget question: What is the ratio of R : B? Statement 1: R : G = 2 : 3 No information about the number of BLUE marbles.
Statement 1 is NOT SUFFICIENT
Statement 2: G : B = 6 : 5 No information about the number of RED marbles.
Statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined Statement 1:
R :
G =
2 :
3Statement 2:
G :
B =
6 :
5Since both ratios have
G in common, we can COMBINE them once we rewrite the ratios so that the value of G is the same in both ratios.
Take
2 :
3 and multiply both values by 2 to get:
4 :
6We can now COMBINE the two ratios to get:
4 :
6 :
5From this we can conclude that
R :
B =
4 :
5Since we can answer the
target question with certainty, the combined statements are SUFFICIENT
Answer: C