Solve the Problem by Setting Up and Solving a System

question 123

Multiple Choice

Solve the problem by setting up and solving a system of two linear equations in two variables. Use either the elimination-by-addition or the substitution method to solve the system. One solution contains 20% alcohol and a second solution contains 30% alcohol. How many liters of each solution should be mixed to make 10 liters containing 26% alcohol?

• A) 5 liters of 20% and 5 liters of 30%
• B) 4 liters of 20% and 6 liters of 30%
• C) 2 liters of 20% and 4 liters of 30%
• D) 6 liters of 20% and 4 liters of 30%
• E) none of these

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