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A certain painting job requires a mixture of yellow, green, and white

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A certain painting job requires a mixture of yellow, green, and white  [#permalink]

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New post 26 Apr 2019, 02:43
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A certain painting job requires a mixture of yellow, green, and white paint. If 12 quarts of paint are needed for the job, how many quarts of green paint are needed?

(1) The ratio of the amount of green paint to the amount of yellow and white paint combined needs to be 1 to 3.
(2) The ratio of the amount of yellow paint to the amount of green paint needs to be 3 to 2.


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OG2020 NEW QUESTION

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Re: A certain painting job requires a mixture of yellow, green, and white  [#permalink]

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New post 26 Apr 2019, 14:58
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Bunuel wrote:
A certain painting job requires a mixture of yellow, green, and white paint. If 12 quarts of paint are needed for the job, how many quarts of green paint are needed?

(1) The ratio of the amount of green paint to the amount of yellow and white paint combined needs to be 1 to 3.
(2) The ratio of the amount of yellow paint to the amount of green paint needs to be 3 to 2.


DS00602.01
OG2020 NEW QUESTION


We know that y + g + w = 12 and need to calculate g.
So, we need to know the value of y + w or have two more equations with which to calculate w and y separately.
We'll look for this information, a Logical approach.
(1) gives g/(y+w) = 1/3 so y+w = 3g , sufficient. (as we needed info on w+y OR on each separately)
(2) gives y/g = 3/2 but without info on w this is insufficient.
(A) is our answer.
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Re: A certain painting job requires a mixture of yellow, green, and white  [#permalink]

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New post 27 Apr 2019, 07:30
Bunuel wrote:
A certain painting job requires a mixture of yellow, green, and white paint. If 12 quarts of paint are needed for the job, how many quarts of green paint are needed?

(1) The ratio of the amount of green paint to the amount of yellow and white paint combined needs to be 1 to 3.
(2) The ratio of the amount of yellow paint to the amount of green paint needs to be 3 to 2.


DS00602.01
OG2020 NEW QUESTION


from given info
#1
g/y+w = 1/3
so g = 1/4 * 12 ; 3
sufficeint
#2
y/g = 3/2
but total paint vol = 12 insufficient
IMO A
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Re: A certain painting job requires a mixture of yellow, green, and white  [#permalink]

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New post 27 Apr 2019, 10:07
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Bunuel wrote:
A certain painting job requires a mixture of yellow, green, and white paint. If 12 quarts of paint are needed for the job, how many quarts of green paint are needed?

(1) The ratio of the amount of green paint to the amount of yellow and white paint combined needs to be 1 to 3.
(2) The ratio of the amount of yellow paint to the amount of green paint needs to be 3 to 2.


DS00602.01
OG2020 NEW QUESTION


Let \(Y\), \(G\), and \(W\) be the amounts of yellow, green, and white paint, respectively. We know that \(Y+G+W=12\). The original question: \(G=?\)

1) We can set up an equation about the ratio given in the statement.

\(\frac{G}{Y+W}=\frac{1}{3}\)

\(3G=Y+W\)

\(4G=Y+G+W\)

\(G=\frac{12}{4}=3\)

Thus, the answer to the original question is a unique value. \(\implies\) Sufficient

2) We know that \(Y:G=3:2\), but no information is given or can be inferred about the total amount of yellow and green paint combined in the mixture. Thus, we can't get a unique value to answer the original question. \(\implies\) Insufficient

Answer: A
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Re: A certain painting job requires a mixture of yellow, green, and white  [#permalink]

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New post 07 May 2019, 18:42
Bunuel wrote:
A certain painting job requires a mixture of yellow, green, and white paint. If 12 quarts of paint are needed for the job, how many quarts of green paint are needed?

(1) The ratio of the amount of green paint to the amount of yellow and white paint combined needs to be 1 to 3.
(2) The ratio of the amount of yellow paint to the amount of green paint needs to be 3 to 2.


DS00602.01
OG2020 NEW QUESTION


We can create the equation: y + g + w = 12.

We need to determine the number of quarts of green paint needed.

Statement One Alone:

The ratio of the amount of green paint to the amount of yellow and white paint combined needs to be 1 to 3.

We can let y + w = n and create the ratio:

g : n = x : 3x

Since our original equation is y + w + g = 12, substituting we have:

3x + x = 12

4x = 12

x = 3

The amount of green paint is 3 quarts. Statement one alone is sufficient to answer the question.

Statement Two Alone:

The ratio of the amount of yellow paint to the amount of green paint needs to be 3 to 2.

Since we are only given the ratio of yellow to green paint and we don’t know anything about the white paint, we do not have enough information to solve. Statement two is not sufficient to answer the question.

Answer: A
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Re: A certain painting job requires a mixture of yellow, green, and white  [#permalink]

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New post 15 May 2019, 20:52
Hi All,

We're told that a certain painting job requires a mixture of yellow, green, and white paint and that 12 quarts of paint are needed for the job. We're asked for the number of quarts of GREEN paint that are needed. This question can be answered with ratio-based math and TESTing VALUES.

(1) The ratio of the amount of green paint to the amount of yellow and white paint combined needs to be 1 to 3.

With the information in Fact 1, we have the following relationship:
(Green) : (Yellow + White) = 1 : 3

This means that for every 1 quart of green paint, we have a total of 3 quarts of yellow and white paint, so we can think of this ratio in terms of '4 quart blocks'. With 12 total quarts, we would have 3 of those blocks - meaning that we have 3 quarts of green paint and 9 quarts of yellow+white paint. The actual amounts of yellow and white paint don't matter though, since we're asked for the amount of GREEN paint and we now know that the answer must be 3.
Fact 1 is SUFFICIENT

(2) The ratio of the amount of yellow paint to the amount of green paint needs to be 3 to 2.

Fact 2 gives us a different ratio, but not enough to determine the exact amount of green paint....
IF....
Yellow = 3 quarts, Green = 2 quarts and White = 7 quarts, then the answer to the question is 2.
Yellow = 6 quarts, Green = 4 quarts and White = 2 quarts, then the answer to the question is 4.
Fact 2 is INSUFFICIENT

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Re: A certain painting job requires a mixture of yellow, green, and white   [#permalink] 15 May 2019, 20:52
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