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15 Jan 2010, 13:57
Kudos
Bookmarks
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
76% (02:49) correct
24%
(02:43)
wrong
based on 740
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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"?
A. 2
B. 13/6
C. 3
D. 4
E. 14/3
A. 2
B. 13/6
C. 3
D. 4
E. 14/3
25 Apr 2015, 17:15
Kudos
Bookmarks
Hi All,
This question is essentially just about ratios and the average formula. You can actually do the math in a few different ways, but sometimes it's easiest to just break simple calculations down into their components:
We're told that we have 14 liters of "forest green" paint. Forest green paint is 4 parts blue paint and 3 parts yellow paint. With this information, we know that the 14 liters we currently have is....
14 liters of forest green = 8 liters blue paint + 6 liters yellow paint
"Verdant green" paint is 3 parts blue paint and 4 parts yellow paint. We're asked how many liters of YELLOW paint must be ADDED to the 14 liters of forest green paint to convert that paint into verdant green paint.
Since Verdant green paint uses the ratio of blue to yellow as B/Y = 3/4, we can use the current amount of blue paint that we have to figure out how much TOTAL yellow paint we need.
With 8 liters of blue, we can solve for TOTAL yellow:
8/Y = 3/4
3Y = 32
Y = 10 2/3 liters of TOTAL yellow paint are needed....
We currently have 6 liters of yellow paint, so we need....
10 2/3 - 6 = 4 2/3 MORE yellow paint.
Final Answer:
GMAT assassins aren't born, they're made,
Rich
This question is essentially just about ratios and the average formula. You can actually do the math in a few different ways, but sometimes it's easiest to just break simple calculations down into their components:
We're told that we have 14 liters of "forest green" paint. Forest green paint is 4 parts blue paint and 3 parts yellow paint. With this information, we know that the 14 liters we currently have is....
14 liters of forest green = 8 liters blue paint + 6 liters yellow paint
"Verdant green" paint is 3 parts blue paint and 4 parts yellow paint. We're asked how many liters of YELLOW paint must be ADDED to the 14 liters of forest green paint to convert that paint into verdant green paint.
Since Verdant green paint uses the ratio of blue to yellow as B/Y = 3/4, we can use the current amount of blue paint that we have to figure out how much TOTAL yellow paint we need.
With 8 liters of blue, we can solve for TOTAL yellow:
8/Y = 3/4
3Y = 32
Y = 10 2/3 liters of TOTAL yellow paint are needed....
We currently have 6 liters of yellow paint, so we need....
10 2/3 - 6 = 4 2/3 MORE yellow paint.
Final Answer:
GMAT assassins aren't born, they're made,
Rich
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
\(\frac{8}{14+x}=\frac{3}{7}\)
\(56=42+3x\)
\(x=\frac{14}{3}\)
Let's suppose we add x liters of yellow paint. Then
\(\frac{8}{14+x}=\frac{3}{7}\)
\(56=42+3x\)
\(x=\frac{14}{3}\)
