lostminer wrote:
I am unable to understand the question wording or a proper difference between the two questions, can someone help here.
Sure,
lostminer, I will jump in. Ratios and percents do overlap, but I would not worry so much about the difference between the questions as I would how to break down the information in each one, piece by piece.
QUESTION ONEQuote:
A paint mixture was formed by mixing exactly 3 colors of paint. By volume, the mixture was x% blue paint, y% green paint, and z% red paint. If exactly 1 gallon of blue paint and 3 gallons of red paint were used, how many gallons of green paint were used?
(1) x = y
(2) z = 60
There are three unknowns,
x,
y, and
z, and we already know the
amount of blue and red paint used, in gallons. (All the units match, so we do not need to worry about conversions.) We need to find out how many gallons of green there are in the mixture.
Statement (1): If x (blue) = y (green), then we can quickly deduce that 1 gallon of green paint was added, and we need to go no further. (We do not need to actually calculate the value of
y.)
Blue - 1 gallon
Green - 1 gallon
Red - 3 gallons
Statement (1) is SUFFICIENT.
Statement (2): If z (red) = 60 percent of the mixture, then 3 gallons = 60 percent and 1 gallon (blue) must equal 20 percent, leaving only 20 percent, or 1 gallon, remaining for the green paint. Thus,
Statement (2) is SUFFICIENT.
The answer must be (D).QUESTION TWOQuote:
A certain mixture of paint requires blue, yellow, and red paints in ratios of 2:3:1, respectively, and no other ingredients. If there are ample quantities of the blue and red paints available, is there enough of the yellow paint to make the desired amount of the mixture?
(1) Exactly 20 quarts of the mixture are needed.
(2) Exactly 10 quarts of the yellow paint are available.
The first line of the problem tells us that there are six parts that make up the mixture: 2 + 3 + 1 = 6. Yellow is represented by the 3 parts, so it will comprise 50 percent of the mixture: 3/6 parts. We need to know whether there is enough yellow to make the mixture, and to figure that out, we need to know two pieces of information:
- How much yellow is available.
- How many units of mixture need to be made.
Statement (1): If 20 quarts of mixture are needed, we know that 10 quarts of yellow are needed, but are 10 quarts available?
Statement (1) is NOT SUFFICIENT.
Statement (2): 10 quarts of yellow are available, but how much of the mixture is needed? We have only half of the information.
Statement (2) is NOT SUFFICIENT.
Together, the statements provide the two pieces of information we need, so
the two statements together are sufficient, and the answer must be (C).
Again, I would not worry too much about how two different problems may share certain features or appear slightly different. Just keep track of what it is you need to answer and what information you have. If you find percents, ratios, or mixtures difficult conceptually, then I would suggest checking out the theory in posts such as the
Ultimate GMAT Quantitative Megathread and
ALL YOU NEED FOR QUANT ! ! ! both of which can be accessed in the Announcements section of the
Quantitative main page.
Thank you for thinking to ask, and good luck with your studies.
- Andrew