Mixtures Word Problems

Mixture problems involve combining two or more substances with different concentrations, prices, or qualities to achieve a target blend. The classic setup: you have a 40% acid solution and a 70% acid solution, and you need to mix them to get 100 liters of 50% acid. The underlying math is always the same — total amount of the "active ingredient" before mixing equals total after mixing — but the variety of contexts keeps things interesting: blending coffee beans at different price points, mixing alloys with different metal percentages, diluting medication to a target concentration. These problems train you to track a quantity through a transformation, which is a surprisingly transferable skill.
Mixture Problem: Ethanol Fuel Blend

Solve a fuel mixture problem: combine 85% and 25% ethanol to make 50% in 20 gallons. Two methods included.

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