PGMAT wrote:In a certain paint store "forest green" is made by mixing 4 parts blue paint with 3 parts of yellow paint. "Verdant green" is made by mixing 4 parts of yellow with 3 parts of blue paint. How many liters of yellow paint must be added to 14 liters of forest green to change it in to "verdant green"?
2
13/6
3
6
14/3
An alternate approach is to work with the ingredient whose volume is NOT CHANGING: in this case, the blue paint.
14 liters of Forest Green:
Since b:y = 4:3 = 8:6, there 8 liters of blue paint.
Verdant Green:
Since y:b = 4:3, of every 7 units, 4 must be yellow and 3 must be blue, implying that the fraction of blue paint = 3/7.
Thus, the 8 liters of blue paint must be 3/7 of the total:
8 = (3/7)x
x = 56/3.
Amount of paint added:
New total - old total = 56/3 - 14 = 56/3 - 42/3 = 14/3.
The correct answer is
E.
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