SOLUTION: A solution of 61% bleach is to be mixed with a solution of 27% bleach to make 68 gallons of a 44% solution. How many gallons of each should be used?

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Question 636254: A solution of 61% bleach is to be mixed with a solution of 27% bleach to make 68 gallons of a 44% solution. How many gallons of each should be used?

Found 3 solutions by Maths68, ankor@dixie-net.com, Alan3354:
Answer by Maths68(1474) About Me  (Show Source):
You can put this solution on YOUR website!
Solution A
===========
Amount = x gallons
Concentration = 61%=0.61



Solution B
===========
Amount = 68-x
Concentration = 27%=0.27

Mixture
=======
Amount = 68 gallons
Concentration = 44% = 0.44


(Amount of Solution A)(Concentration of Solution A)+(Amount of Solution B)(Concentration of Solution B)=(Amount of Mixture)(Concentration of Mixture)
(x)(0.61)+(68-x)(0.27)=(68)(0.44)
0.61x+18.36-0.27x=29.92
0.34x+18.36=29.92
0.34x=29.92-18.36
0.34x=11.56
0.34x/0.34=11.56/0.34
x=34



Solution A
===========
Amount = x = 34 gallons
Concentration = 61%=0.61
Solution B
===========
Amount = 68-x = = 68-34 = 34 gallons
Concentration = 27%=0.27
Mixture
=======
Amount = 68 gallons
Concentration = 44% = 0.44


34 gallons of each should be used.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A solution of 61% bleach is to be mixed with a solution of 27% bleach
to make 68 gallons of a 44% solution.
How many gallons of each should be used?
:
Let x = amt of 61% bleach required
the resulting mixture is to be 68 gal, therefore:
(68-x) = amt of 27% solution required
:
A typical mixture equation
:
.61x + .27(68-x) = .44(68)
:
.61x + 18.36 - .27x = 29.92
.61x - .27x = 29.92 - 18.36
.34x = 11.56
x = 11.56/.34
x = 34 gal of 61% solution
and
68 - 34 = 34 gal of 27% solution

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A solution of 61% bleach is to be mixed with a solution of 27% bleach to make 68 gallons of a 44% solution. How many gallons of each should be used?
---------------------
44 is the average of 61 & 27, so it's equal amounts.