SOLUTION: A light green latex paint that is 20% yellow paint is combined with a darker green latex paint that is 45% yellow paint. How many gallons of each paint must be used to create 50 ga

Question 759859: A light green latex paint that is 20% yellow paint is combined with a darker green latex paint that is 45% yellow paint. How many gallons of each paint must be used to create 50 gallons of a green paint that is 25% yellow paint?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = gallons of 20% yellow paint needed
Let = gallons of 45% yellow paint needed
= gallons of yellow paint in 20% yellow paint
= gallons of yellow paint in 45% yellow paint
-----------------------------------------------
(1)
(2)
----------------------------
(2)
(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
-------------------------

and, since
(1)
(1)
(1)
40 gallons of 20% yellow paint are needed
10 gallons of 45% yellow paint are needed
check:
(2)
(2)
(2)
(2)
(2)
OK

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