Posted by Chanelle on Tuesday, January 29, 2013 at 11:36am.
Suppose that you have a supply of a 25% solution of alcohol and a 75% solution of alcohol. How many quarts of each should be mixed to produce 90 quarts that is 60% alcohol?

Math  Steve, Tuesday, January 29, 2013 at 11:42am
work with the amount of alcohol in each part. It has to add up to the total alcohol.
.25x + .75(90x) = .60(90)
x = 27
so, 27 qt @ 25% and 63 qt @ 75%

Math  Chanelle, Tuesday, January 29, 2013 at 11:47am
Thank you,and how did you get come up with the equation?

Math  Chanelle, Tuesday, January 29, 2013 at 11:49am
Thank you,and how did set up the equation?

Math  Steve, Tuesday, January 29, 2013 at 12:14pm
If you let x be the amount of 25% solution, then .25x is the amount of alcohol in that solutions.
Since there are 90 qts in all, 90x is the amount of the 75% solution. .75(90x) is the amount of alcohol in that solution.
Add up the two amounts of alcohol, and it must equal the amount of alcohol in 90 qts of 60% solution.
Tadaa

Math  Chanelle, Tuesday, January 29, 2013 at 12:41pm
Thanks
Answer This Question
Related Questions
 MATH  Suppose that you have a supply of a 25% solution of alcohol and a 75% ...
 PLEASE HELP (MATH)  Six quarts of a 20% solution of alcohol in water are mixed ...
 math  How many quarts of water must be added to 18 quarts of a 32% alcohol ...
 algebra  A laboratory assistant is asked to mix a 30% alcohol solution with 21 ...
 Math  Solution A is 80% Alcohol and Solution B is 30% Alcohol. How many Liters ...
 Math  1. In the lab, Deon has two solutions that contain alcohol and is mixing ...
 math  A 5% alcohol solution is mixed with 15% alcohol solution to make a 25mlof...
 Math   A)For a certain commodity the demand equation is given by D=3p+20. At ...
 math  in the lab, tom has two solutions that contain alcohol and is mixing them...
 math / algebra  n the lab, Bob has two solutions that contain alcohol and is ...
More Related Questions