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# At a certain paint store "forest green"is made by

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At a certain paint store "forest green"is made by [#permalink]  15 Jan 2010, 12:57
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At a certain paint store "forest green"is made by mixing 4 parts blue paint with 3 parts yellow paint."Verdant green"is made by mixing 4 parts yellow paint with 3 parts blue paint.How many liters of yellow paint must be added to 14 liters of "forest green"to change it to "Verdant green"?
1. 2
2. 13/6
3. 3
4.4
5.14/3
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Re: How to solve ? [#permalink]  15 Jan 2010, 14:07
14 liters of "forest green" contain 8 liters of blue paint. in order to transform it into "verdant green" blue paint should become 3/7 of total paint volume (now it's 4/7)

Let's suppose we add x liters of yellow paint. Then

\frac{8}{14+x}=\frac{3}{7}

56=42+3x

x=\frac{14}{3}

Last edited by shalva on 15 Jan 2010, 14:12, edited 1 time in total.
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Re: How to solve ? [#permalink]  15 Jan 2010, 14:12
14 liter of Forset green have 8 liter of blue and 6 liter of yellow
Suppose we add x liter of yellow to make it a verdant green so the ratio of blue to yellow in verdant green is ¾ so the equation is

Blue/yellow =8/(6+x) = ¾
Solving this we get x =14/3 and answer is 5
Re: How to solve ?   [#permalink] 15 Jan 2010, 14:12
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