2. A chemist wants to make 4 liters of a 7% acid solution by mixing a 10% acid solution and a 4% acid solution. How many liters of each solution should the chemist use? Write your answer as a complete sentence. Be sure to: • Define your variable and expressions for the quantities. • Write an equation that models the problem. • Solve the equation. • State the answer in a complete sentence.

Question

Mathematics

Amity

18 April, 14:09

2. A chemist wants to make 4 liters of a 7% acid solution by mixing a 10% acid solution and a 4% acid solution. How many liters of each solution should the chemist use? Write your answer as a complete sentence. Be sure to: • Define your variable and expressions for the quantities. • Write an equation that models the problem. • Solve the equation. • State the answer in a complete sentence.

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Answers (1)

Know the Answer?

Lorelei Gallagher · Answer 1

Let x be the 10% solution and y be the 4% solution.

.1x +.04y =.07 (4)

x + y = 4

These are the two equations.

Solve the equations.

.6y = 1.2

y = 2

Plug this back into the second equation to get x = 2.

Therefore the Chemist must mix 2 liters of the 10% solution with 2 liters of the 4% solution to get 4 liters of the 7% solution.