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Solving Mixture Problems

Question 4 • GA-Algebra: Concepts and Connections A

Eli wants to combine 0.5 gallon of a 10% acid solution with some 35% acid solution to make a 15% acid solution. | Which equation can you use to determine how many gallons of the 35% acid solution Eli should add?

Answer
A
(0.10)(0.5) + 0.35g = 0.15(g+ 0.5)
B
(0.10)(0.5) + 0.35g = (g + 0.5) + 0.15
C
(g + 0.5) + 0.15 = 0.15(g + 0.5)
D
(0.10)(0.5)(0.35g) = 0.15(g + 0.5)

Explanation

The amount of pure acid in the mixture equals the amount of acid in the 0.15-concentration final solution. The 0.5 gallon of 10% solution contributes (0.10)(0.5) gallons of acid, and g gallons of 35% solution contributes 0.35g gallons. The final mixture has g + 0.5 gallons, so its acid amount is 0.15(g + 0.5); therefore, choice A is correct.

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