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).
<pre>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 {{{highlight_green(matrix(1,6, T, "=", (- .48)/(- .2), "=", 2.4, oz))}}}