SOLUTION: Please help me solve this problem. This is the last problem on my homework. Its hard for me to solve. I am stuck. Please help. A chemist has two solutions of HCl. One has a&#82

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: Please help me solve this problem. This is the last problem on my homework. Its hard for me to solve. I am stuck. Please help. A chemist has two solutions of HCl. One has a&#82      Log On

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Question 1039676: Please help me solve this problem. This is the last problem on my homework. Its hard for me to solve. I am stuck. Please help.
A chemist has two solutions of HCl. One has a​ 40% concentration and the other has a​ 25% concentration. How many liters of each solution must be mixed to obtain 93 liters of a 26% ​solution?

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
x + y = 93, where x is amount of 40% concentration and y is amount of 25% concentration
:
x = 93 - y
:
93 * 0.26 = 24.18 of HCI
:
0.40x + 0.25y = 24.18
:
now substitute 93 - y for x
:
0.40(93 - y) + 0.25y = 24.18
:
37.2 - 0.40y + 0.25y = 24.18
:
-0.15y = -13.02
:
y = 86.8
x = 6.2
:
****************************************
We need to mix
6.2 liters of the 40% HCI solution with
86.8 liters of the 25% HCI solution
****************************************
: