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.Solve mixture concentration problems. Find how much of each solution to mix using algebra. Step-by-step guided solution.
Solve a mixture problem where equal amounts are removed from two containers with a 5:1 ratio. Step-by-step algebra solution.
Mix 70% and 30% orange juice to get 50%. Find gallons of 70% juice needed. Teaches weighted average method.
A 4-pint green paint mixture needs to become 80% yellow. Determine how many pints of yellow must be added. Evaluate Brandon's claim.
Find pounds of raspberries and grapes sold given total revenue and weight. System of two equations.
Mix 20%, 30%, 75% acid solutions to make 48L of 55% acid. Find liters of each with constraint (75% = 2× 30%).
Paul mixes nuts ($1.25/lb) and oats ($1.65/lb) to make 16 lbs at $1.55/lb. Find pounds of each.
Plant A made 12000 panels (6% defective), Plant B made unknown (2% defective). Overall 5% defective. Find Plant B output.