Last Updated on May 11, 2023
GMAT OFFICIAL GUIDE DS
Solution:
We are given the ratio:
blue : yellow : red = 2x : 3x : x
We need to determine if there is enough yellow paint available to allow the ratio to hold true.
Statement One Alone:
Exactly 20 quarts of the mixture are needed.
We can create the following equation:
2x + 3x + x = 20
6x = 20
x = 20/6 = 10/3
Thus, we see that 3 x 10/3 = 10 quarts of yellow paint are needed. However, since we do not know how much yellow paint is available, statement one alone is not sufficient to answer the question.
Statement Two Alone:
Exactly 10 quarts of the yellow paint are available.
Since we do not know how many quarts of paint are needed, we cannot answer the question. Statement two alone is not sufficient to answer the question.
Statements One and Two Together:
Using both statements together, we see that we need 10 quarts of yellow paint and we have exactly 10 quarts of yellow paint available. Thus, we have enough yellow paint.
Answer: C
