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At a certain paint store, "forest green" is made by mixing 4

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At a certain paint store, "forest green" is made by mixing 4 [#permalink]

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New post 02 Nov 2005, 10:27
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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 yelow paint must be added to 14 liters of forest green to change it to verdant green?

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New post 02 Nov 2005, 11:01
14ltr of verdant green include 8ltr of blue paint and 6 ltr of yellow paint. so its 8/(6+x)=3/4...solve for x...
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New post 02 Nov 2005, 11:01
can you post answer choices...

it helps to check ones workig....

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New post 02 Nov 2005, 15:24
14/3 or 4 and 2/3 liters.

Same approach as christoph's..
3/4 = 8/(6+x)
=> x= 14/3

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New post 02 Nov 2005, 21:28
Correct answer is 14/3 or 4 2/3.

OE: Forest green is 4 parts blue and 3 parts yellow, for a total of 4+3=7 parts. Since 4/7 parts of forest green is blue, the mixture must contain 4/7*14=8 liters of blue paint. To find out yellow (Y) must be mixed with 8 liters of blue to get verdant green, set up a proportion, using the 4:3 ratio of yellow to blue.

4/3=Y/8---->3Y=32---->Y=10 2/3

The verdant green mixture must contain 10 2/3 liters of yellow paint. The forest green already had 14-8=6 liters of yellow, so 10 2/3-6= 4 2/3 liters must be added.

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  [#permalink] 02 Nov 2005, 21:28
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At a certain paint store, "forest green" is made by mixing 4

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