Form 4: Mixture and Solution Problems
Set up and solve linear systems representing chemical mixtures, solution concentrations, and combined ingredients.
Questions
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MultiChoice
A chemist mixes a 10% acid solution with a 20% acid solution to make 10 liters of a 16% acid solution. How many liters of each solution are needed?
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MultiChoice
Coffee bean A costs $4/lb and bean B costs $8/lb. How many pounds of each are needed to make a 20 lb mixture costing $5/lb?
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MultiChoice
Cashews cost $6/lb and peanuts cost $3/lb. A store wants 50 lbs of mixed nuts worth $4.20/lb. How many pounds of cashews are needed?
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MultiChoice
How many liters of 5% saline and 25% saline must be mixed to create 20 liters of 13% saline solution?
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MultiChoice
Almonds ($9/lb) and walnuts ($4/lb) are mixed to create 20 lbs of nuts selling at $5.50/lb. How many pounds of almonds are used?
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MultiChoice
Pure water (0% juice) is mixed with 50% fruit juice to make 10 liters of 40% fruit juice. How much water is needed?
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MultiChoice
Candy selling for $2/lb is mixed with candy selling for $5/lb to get 50 lbs worth $3.20/lb. How many pounds of the $2 candy are used?
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MultiChoice
A gardener needs 40 gallons of 50% fertilizer. She mixes 20% fertilizer and 60% fertilizer. How much 20% fertilizer does she need?
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MultiChoice
Dark chocolate ($12/lb) is mixed with milk chocolate ($7/lb) to get 10 lbs worth $10.50/lb. How many pounds of dark chocolate are needed?
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MultiChoice
How many liters of 30% acid and 80% acid solutions must be combined to get 30 liters of 60% acid solution?
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MultiChoice
Wheat grain ($3/lb) is mixed with oats ($1/lb) to make 40 lbs of feed at $2.25/lb. How many pounds of wheat are in the mix?
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MultiChoice
Pure alcohol (100%) is mixed with a 40% alcohol solution to yield 20 gallons of a 52% solution. How many gallons of pure alcohol are used?