SOLUTION: Mrs. G thinks a slightly altered version of the same medicine might very well clear up her gooey scalp. Now she is mixing a liquid containing 12% reactor fuel with a liquid contai

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Question 1158390: Mrs. G thinks a slightly altered version of the same medicine might very well clear up her gooey scalp. Now she is mixing a liquid containing 12% reactor fuel with a liquid containing 32% reactor fuel to create a 4 ounce liquid containing 20% reactor fuel. How many ounces of the 12% liquid must she use? Round to the nearest one decimal place(tenths).
Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = ounces of 12% mixture needed
Let = ounces of 32% mixture needed
-----------------------------------------------------
(1)
(2)
--------------------------------------
(2)
(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
----------------------------


and
(1)
(1)
(1)
She must use 2.4 ounces of the 12% liquid
----------------------------
check:
(2)
(2)
(2)
(2)
(2)
OK
Answer by MathTherapy(10557)   (Show Source): You can put this solution on YOUR website!
Mrs. G thinks a slightly altered version of the same medicine might very well clear up her gooey scalp. Now she is mixing a liquid containing 12% reactor fuel with a liquid containing 32% reactor fuel to create a 4 ounce liquid containing 20% reactor fuel. How many ounces of the 12% liquid must she use? Round to the nearest one decimal place(tenths).
Let amount of 12% liquid to mix, be T

Then amount of the 32% liquid is, 4 - T

We then get: .12T + .32(4 - T) = .2(4)

.12T + 1.28 - .32T = .8

.12T - .32T = .8 - 1.28

- .2T = - .48

Amount of 12% liquid to mix, or  

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