Concept (1)

To solve word problems involving percent concentration amounts, knowledge of solving systems of equations and percents is necessary. Percent concentration word problems involve solving for amounts and concentrations when mixing two liquids with differing percent concentration amounts. Other types of word problems using systems of equations include mixture problems and money word problems.

Sample Problems (4)

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How many mL of a 50% alcohol solution must be mixed with 1 mL of a 10% alcohol solution to get a 46% alcohol solution?

Problem 1
How to solve word problems about mixing two liquids with different percent concentrations and the quantity of one ingredient is unknown.

For a graduation party, Amelia mixed 9 gallons of brand A lemonade with 6 gallons of brand B lemonade. Brand A contains 28% real fruit juice and brand B contains 18% real fruit juice.

What percent of the mixture is real fruit juice?
Problem 2
How to solve word problems about mixing two liquids with different percent concentrations and the concentration of the mixture is unknown.

Rudy wants to make a 21% sugar solution. He has already poured 1 fl. oz. of pure water into a beaker.

How many fl. oz. of a 28% sugar solution must he add to this to create the desired mixture?
Problem 3
How to solve word problems about mixing two liquids with different percent concentrations and one of the ingredients is "pure."
Problem 4
How to write a system and solve chemistry percent mixture problems