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Green paint is made by mixing blue paint with yellow paint in a ratio
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10 May 2021, 21:41
10 May 2021, 21:41
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Green paint is made by mixing blue paint with yellow paint in a ratio of 2 to x. Turquoise paint is made by mixing green paint with blue paint in a ratio of y to 2. In terms of x and y, how many gallons of yellow paint are required to make 10 gallons of turquoise paint?
(A) \(\frac{10xy}{(x+2)(y+2)}\)
(B) \(\frac{10xy}{(x+4)(y+2)}\)
(C) \(\frac{20x}{y+2}\)
(D) \(\frac{10(x+2)}{y+2}\)
(E) \(\frac{x}{y} = \frac{2}{3}\)
(A) \(\frac{10xy}{(x+2)(y+2)}\)
(B) \(\frac{10xy}{(x+4)(y+2)}\)
(C) \(\frac{20x}{y+2}\)
(D) \(\frac{10(x+2)}{y+2}\)
(E) \(\frac{x}{y} = \frac{2}{3}\)
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Re: Green paint is made by mixing blue paint with yellow paint in a ratio
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11 May 2021, 00:49
11 May 2021, 00:49
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GeminiHeat wrote:
Green paint is made by mixing blue paint with yellow paint in a ratio of 2 to x. Turquoise paint is made by mixing green paint with blue paint in a ratio of y to 2. In terms of x and y, how many gallons of yellow paint are required to make 10 gallons of turquoise paint?
(A) \(\frac{10xy}{(x+2)(y+2)}\)
(B) \(\frac{10xy}{(x+4)(y+2)}\)
(C) \(\frac{20x}{y+2}\)
(D) \(\frac{10(x+2)}{y+2}\)
(E) \(\frac{x}{y} = \frac{2}{3}\)
(A) \(\frac{10xy}{(x+2)(y+2)}\)
(B) \(\frac{10xy}{(x+4)(y+2)}\)
(C) \(\frac{20x}{y+2}\)
(D) \(\frac{10(x+2)}{y+2}\)
(E) \(\frac{x}{y} = \frac{2}{3}\)
Let \(x = 3\) and \(y = 2\)
Now, for green paint, \(\frac{B}{Y} = \frac{2}{3}\)
For turquoise paint, \(\frac{G}{B} = \frac{2}{2} = \frac{1}{1}\)
Since, we need to make 10 gallons of turquoise paint, we must have 5 gallons of green paint and 5 gallons of blue paint
So, we have 5 gallon of green paint out of which 2 gallons is blue and 3 gallons is yellow
All we have to do now is put the values of \(x\) and \(y\) in the option choices and check which option gives us \(3\) upon solving!
Hence, option A
Re: Green paint is made by mixing blue paint with yellow paint in a ratio
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21 Sep 2022, 19:20
21 Sep 2022, 19:20
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
