SOLUTION: 1. Jacob mixes 8 liters of 4% acid solution with a 24% acid solution, which results in a 8% acid solution. Find the number of liters of 24% acid solution in the new mixture.

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: 1. Jacob mixes 8 liters of 4% acid solution with a 24% acid solution, which results in a 8% acid solution. Find the number of liters of 24% acid solution in the new mixture.       Log On

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Question 397947: 1. Jacob mixes 8 liters of 4% acid solution with a 24% acid solution, which results in a 8% acid solution. Find the number of liters of 24% acid solution in the new mixture.
• Identify the variable
• Construct a table to organize the information
• Show all of your work to solve the problem.
• Write your answer as a complete sentence,
• Check your answer.
HELP PLEASE! Its due by monday and I can only do the first two problems! (Barley!)

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, I can solve it in a straight forward algebra way. You can do all
the fancy stuff they want.
In words:
(total liters of acid you end up with)/(total liters of solution you end up with) = 8%
Let x = liters of 24% solution needed
given:
acid in 4% solution = .04%2A8+=+.32 liters
acid in 24% solution = .24x liters
-----------------------------------
%28.32+%2B+.24x%29%2F%288+%2B+x%29+=+.08
.32+%2B+.24x+=+.08%2A%288+%2B+x%29
.32+%2B+.24x+=+.64+%2B+.08x
.16x+=+.64+-+.32
.16x+=+.32
x+=+2 liters
2 liters of the 24% acid solution are needed
check answer:
%28.32+%2B+.24x%29%2F%288+%2B+x%29+=+.08
%28.32+%2B+.24%2A2%29%2F%288+%2B+2%29+=+.08
%28.32+%2B+.48%29%2F10+=+.08
.8%2F10+=+.08
.8+=+.8
OK