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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] New post 16 Sep 2006, 05:56
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"?

A. 2
B. 13/6
C. 3
D. 4
E. 14/3

so FG=4/7 + 3/7=14 and VG=3/4+4/7=1

but I don't know where to take it from there.
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 [#permalink] New post 16 Sep 2006, 06:10
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"?

A. 2
B. 13/6
C. 3
D. 4
E. 14/3


14 liters forest green are = 8 blue liters + 6 yellow with a ratio of 4b:3y

we need to change the ratio to 3b:4y but still we are anly allowed to increase the yellow color while keeping the 8 liters of blue unchanged

if the 8b represents the 3 thus 10 2/3y represents the 4 , we already have 6 liters of yellow
thus we need 10 2/3 - 6 = 4 2/3 = 14/3 E IS MY ANSWER
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 [#permalink] New post 16 Sep 2006, 06:13
yezz wrote:
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"?

A. 2
B. 13/6
C. 3
D. 4
E. 14/3


14 liters forest green are = 8 blue liters + 6 yellow with a ratio of 4b:3y

we need to change the ratio to 3b:4y but still we are anly allowed to increase the yellow color while keeping the 8 liters of blue unchanged

if the 8b represents the 3 thus 10 2/3y represents the 4 , we already have 6 liters of yellow
thus we need 10 2/3 - 6 = 4 2/3 = 14/3 E IS MY ANSWER


yezz, could you explan how you have arrived at 10 2/3?
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 [#permalink] New post 16 Sep 2006, 06:28
In the new mix with the ratio of (3b:4y)

Blue is unchanged

b/y = 3/4 lets assume that ratio between b and y was originally (3x/4x) "in terms of values "and when we simplified by taking out common factors ( x) the ratio remaind.

b = 8 = 3x , y = 4x??

8 thus = 3x therfore x = 8/3

thus y = 4x = 4(8/3) = 32/3 = 10 2/3 this represents y total liters in the new mix so what we added to the already existing 6 liters is

10 2/3 - 6 = 4 2/3

Hope it is clearer now
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 [#permalink] New post 30 Nov 2007, 11:18
once we calculate 8 litres of blue paint in FG, we can useit to calculate the amount of blue paint in VG.

the ratio of B:Y in VG is 3:4

8=3x
x=8/3
this is the multiple of the ratio

now can can calculate the hard value of Y in VG

4x = 4(8/3)

Yellow in VG - Yellow ni FG = yellow added
  [#permalink] 30 Nov 2007, 11:18
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