Fatuma needs to mix a 20% alcohol solution with a 60% alcohol solution to create 100 millileters of a 28% solution. How many millileters of each solution must Fatuma use? A) Write an equation using the information as it is given above that can be used to solve this problem. Use x as your variable to represent the quantity of 20% alcohol solution. Equation: B) Answer: Fatuma must mix millileters of 20% solution and millileters of 60% solution.
Fatuma needs to mix a 20% alcohol solution with a 60% alcohol solution to create 100 millileters of a 28% solution. How many millileters of each solution must Fatuma use? A) Write an equation using the information as it is given above that can be used to solve this problem. Use x as your variable to represent the quantity of 20% alcohol solution. Equation: B) Answer: Fatuma must mix millileters of 20% solution and millileters of 60% solution.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section: Chapter Questions
Problem 3T
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Step 1
If x is the volume of the 20% alcohol solution, then you will have (200-x) of the 60% alcohol solution.
Use the decimal version of each percentage in your equation:
28% =0.28;
20% = 0.20;
60% =0.60
Set up an equation with one side as your final solution, and the other what you will be mixing. The end solution has 200 mL and a concentration of
28%: (200) (0.28) = (x)(0.20) + (200-x)(0.60)
=> 56 = 0.20x + 120-0.60x
=> 0.4x = 64
=> x = 64/0.4
=> x = 160
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