Grid
Bunuel
A certain bag contains only red balls, blue balls, and green balls. What percent of all the balls in the bag are red?
(1) The ration of the number of red balls to the number of blue balls in the bag is 1:3. Clearly insufficient.
(2) There are 2 green balls in the bag. Clearly insufficient.
(1)+(2) We only know that there are 2 green balls and that the ratio of red to blue is 1 to 3 (1 and 3, 2 and 6, 3 and 9, ...). For different numbers of red and blue balls the required percent will be different. Not sufficient.
Answer: E.
hello Bunnel, looks like you are wrong. I chose the same answer as you but the gmat software says the answer choice is (C) Both statements are suffisent together but neither alone.
here is how I guessed the software is right: we have the ratios of
Blue / Green and Blue / Red
2 / 1 and 3 / 1we can deduct from those ratios the ratio of Green and Red.
What are your thoughts?
Hi Grid,
I think for this question answer should E. We can illustrate this with an example.
It's clear that individually none of the statement is sufficient.
By combining statement (1) and (2) we have following:
The ratio of the number of red balls to the number of blue balls = 1:3, and the number of green balls = 2.
Case1: Red balls = 1, Blue balls = 3, and Green balls = 2
Percentage of red balls in the bag = 1/6 * 100 = 16.66 %
Case2: Red balls = 2, Blue balls = 6, and Grenn balls = 2
Percentage of red balls in the bag = 2/10 * 100 = 20 %
Hence, there is no unique answer.
Thanks.