Question 1148074: How much of two grape drinks, one 10% grape juice and the other 40% grape juice should be mixed to get 3 gallons that is 30% grape juice? Answer by ikleyn(52810) (Show Source):
Let x be the volume of the 40% juice, in gallons.
Then the amount of the 10% juice is (3-x) gallons.
Your equation is
0.4x + 0.1(3-x) = 0.3*3
saying that the amount of the pure juice in ingredients is the same as it is in the micture.
From the equation, express x and calculate
x = = 2.
ANSWER. 2 gallons of the 40% guice and the rest (3-2) = 1 gallon of the 10% juice.
. = = 0.3 = 30% concentration. ! Correct !
Solved.
By the way, the answer is SELF-EVIDENT from the given data.
Anyone house-wife will answer with correct answer without solving equation/equations,
based exclusively on her common sense.
But from my solution, you know now the formal Algebra way (! !)
You will find there ALL TYPICAL mixture problems with different methods of solutions,
explained at different levels of detalization, from very detailed to very short.
Read them and become an expert in solution mixture word problems.
