Math
posted by Chanelle .
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
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
Thank you,and how did you get come up with the equation?

Math 
Chanelle
Thank you,and how did set up the equation?

Math 
Steve
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
Thanks
Respond to this Question
Similar Questions

math
A 5% alcohol solution is mixed with 15% alcohol solution to make a 25mlof a 9% solution. How much of each alcohol solution is used? 
Math
Solution A is 80% Alcohol and Solution B is 30% Alcohol. How many Liters of each Solutions should be mixed in order to make 200 liters of a Solution that is 62% Alcohol ? 
MATH
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 100 quarts that is 30% alcohol? 
math
in the lab, tom has two solutions that contain alcohol and is mixing them with each other. he uses 300 millilters less of solution A than solution B. solution A is 10% alcohol and solution B is 13% alcohol. How many millilters of solution … 
Math
1. In the lab, Deon has two solutions that contain alcohol and is mixing them with each other. Solution A is 40% alcohol and Solution B is 12% alcohol. He uses 1000 milliliters of Solution A. How many milliliters of Solution B does … 
math
How many quarts of water must be added to 18 quarts of a 32% alcohol solution to dilute it to a solution that is only 12% alcohol. 
PLEASE HELP (MATH)
Six quarts of a 20% solution of alcohol in water are mixed with 4 quarts of a 60% solution of alcohol in water. The alcoholic strength of the mixture is. A. 80% B. 50% C. 36% D. None I HAVE NO IDEA HOW TO DO IT PLEASE HELP 
algebra
A laboratory assistant is asked to mix a 30% alcohol solution with 21 liters of an 80% alcohol solution to make a 60% alcohol solution. How many liters of the 30% alcohol solution should be used? 
Math 
A)For a certain commodity the demand equation is given by D=3p+20. At the price of $1, four units of the commodity are supplied.If the supply equation is linear and the market price is $4, find the supply equation. B) how many litres … 
Algebra
Suppose that you have a supply of a 30% solution of alcohol and a 70% solution of alcohol. How many quarts of each should be mixed to produce 40 quarts that is 40% alcohol?