Thread: Algebra Mixing Problem With Decimals - Solve for x

1. Algebra Mixing Problem With Decimals - Solve for x

Here's the formula: p^1*x + p^2(a - x) = p^3 * a

And here's the problem....

Determine the number of quarts of a 10% soloution that must be mixed with a 30% solution to obtain 100 quarts of a 25% solution,

(p^1 = 0.1, p^2 = 0.3, p^3 = 0.25, and a = 100.)

I repeated get the wrong answer. I know that I'm supposed to multiply both sides by a multiple of 10 to remove the decimals but when I do it I get outrageously high numbers and the wrong answer.

Any help would be greatly appreciated.

2. I'm assuming that p^1, etc. are NOT exponents.

I'm getting 25 quarts:

.1x + .3(100-x) = .25(100)
.1x + 30 - .3x = 25
x + 300 - 3x = 250
-2x = -50
x = 25

01