service station uses two kinds of cleaning solutions containing acid and water.​ "Type A" is 2% acid and​ "Type B" is 6​% acid. They want to mix the two to get 80 qt of a solution that is 5% acid. How many quarts of each should they​ use? Complete the following​ table, letting aequals the number of quarts of Type A and bequals the number of quarts of Type B

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter10: Quadratic Equations
Section10.4: Solve Applications Modeled By Quadratic Equations
Problem 160E: A city planner wants to build a bridge across a lake in a park. To find the length of the bridge, he...
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A service station uses two kinds of cleaning solutions containing acid and water.​ "Type A" is 2% acid and​ "Type B" is 6​% acid. They want to mix the two to get 80 qt of a solution that is 5% acid. How many quarts of each should they​ use? Complete the following​ table, letting aequals the number of quarts of Type A and bequals the number of quarts of Type B.

 
 
Type A
Type B
Mixture
 
 
Amount of solution
a
b
​____
right arrow
aplus

bequals

​_____
Percent of acid
2
​%
​____%
5
​%
 
 
Amount of acid in solution
​____
0.06
b
 
right arrow
​(____)plus

0.06bequals

​(____)
 
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