# MATH word prob!

how many gallons of 70% alcohol solution must be mixed with 30 gallons of 23% solution to obtain a solution that is 60% alcohol?

How do I solve this problem?

1. 👍 0
2. 👎 0
3. 👁 180
1. let the amount to be added be x gal

.7x + .23(30) = .6(30+x)
times 100
70x + 23(30) = 60(30+x)
70x + 690 = 1800 + 60x
10x = 1110
x = 111 gallons

1. 👍 0
2. 👎 0
posted by Reiny
2. Together a baseball and a football weigh 2.25 pounds, the baseball and a soccer ball weigh 1.25 pounds, and the football and the soccer ball weigh 2.50 pounds. How much does each of the balls weigh?

1. 👍 0
2. 👎 0
posted by kelly

## Similar Questions

1. ### Math

One solution contains 25% as much water as alcohol and another solution contains 5 times as much water as alcohol. How many gallons of each solution must be mixed in order to obtain 7 gallons of the new solution which contains as

asked by Ben on July 27, 2015
2. ### math

clearly define variables. set up the equations.How many gallons of a 30% alcohol solution must be mixed with 60 gallons of a 14% solution to obtain a solution that is 20% alcohol? x represents? y represents? equation 1? equation

asked by jiya on March 1, 2016
3. ### math

An alcohol solution consists of 6 gallons of pure water and x gallons of alcohol, x > 0. Let f(x) be the ratio of the volume of alcohol to the total volume of liquid. [Note that f(x) is the concentration of the alcohol in the

asked by emily on April 23, 2013
4. ### math

An alcohol solution consists of 6 gallons of pure water and x gallons of alcohol, x > 0. Let f(x) be the ratio of the volume of alcohol to the total volume of liquid. [Note that f(x) is the concentration of the alcohol in the

asked by emily on April 23, 2013
5. ### college algebra

How many gallons of a 30% alcohol solution must be mixed with 60 gallons of a 14% solution to obtain a solution that is 20% alcohol

asked by yvette on August 5, 2014
6. ### Math

How do you solve for this:how many gallons of a 10% alcohol solution be mixed with 20 gallons of a 10% acid solution to obtain an 8% acid solution.

asked by krystal on May 30, 2010
7. ### Algebra 1

A restaurant has one type of lemonade that has 12% sugar and another that is 7% sugar. How many gallons of each does the restaurant need to make 20 gallons of a lemonade mixture that is 10% sugar? a. 12 gallons of the 12% lemonade

asked by rachel. on January 5, 2016
8. ### math

A tank contains 50 gallons of a solution composed of 90% water and 10% alcohol. A second solution containing 50% water and 50% alcohol is added to the tank at rate of 4 gallons per minute. As the second solution is being added,

asked by deel on August 10, 2012
9. ### Math

How many gallons of 30% alcohol solution and 45% alcohol solution must be mixed to get 12 gallons of 35% alcohol solution?

asked by Anonymous on September 21, 2017
10. ### Algebra 1

What is the solution to the system? use elimination . -18.6x+ 17.2y=90.2 14.2x+ 3.4y= -35.8 a.(3,2) b.(-3,2) c.(2/3,4/9) d.(2,3) IS IT D?? Terry and ed start a lawn mowing business and purchase mowers and equipment for \$800. They

asked by makayla. on January 5, 2016

More Similar Questions