SOLUTION: BENNET CUSTOM FLOORING HAS 0.5 GAL OF STAIN THAT IS 20% BROWN AND 80% NEUTRAL. A CUSTOMER ORDERS 1.5 GAL OF A STAIN THAT IS 60% BRONW AND 40% NEWUTRAL. HOW MUCH PURE BROWN STAIN AN

Question 145200: BENNET CUSTOM FLOORING HAS 0.5 GAL OF STAIN THAT IS 20% BROWN AND 80% NEUTRAL. A CUSTOMER ORDERS 1.5 GAL OF A STAIN THAT IS 60% BRONW AND 40% NEWUTRAL. HOW MUCH PURE BROWN STAIN AND HOW MUCH NEUTRAL STAIN SHOULD BE ADDED TO THE ORIGINAL 0.5 GAL IN ORDER TO MAKE UP THE ORDER?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
BENNET CUSTOM FLOORING HAS 0.5 GAL OF STAIN THAT IS 20% BROWN AND 80% NEUTRAL. A CUSTOMER ORDERS 1.5 GAL OF A STAIN THAT IS 60% BROWN AND 40% NEUTRAL. HOW MUCH PURE BROWN STAIN AND HOW MUCH NEUTRAL STAIN SHOULD BE ADDED TO THE ORIGINAL 0.5 GAL IN ORDER TO MAKE UP THE ORDER?
:
Let x = amt of Pure Brown stain required to accomplish this
:
It says the total has to be 1.5 gal, therefore:
(1.5-x) = amt of neutral
:
Write an equation based on the % of Brown stain
.2(.5) + 1.0(x) = .6(1.5)
:
.10 + x = .9
;
x = .9 - .1
;
x = .8 gal of pure brown required
Therefore:
1.5 - .8 = .7 gal of neutral stain required
:
:
Check solution in original equation:
.2(.5) + 1(.8) =
.1 + .8 = .6(1.5)
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