Grade 10 Mixture Problems Worksheet
This worksheet provides practice problems for solving mixture problems in algebra, suitable for Grade 10 students.
Includes
Standards
Topics
Mixture Problems: Grade 10 Algebra
Name:
Date:
Score:
Read each problem carefully and solve for the unknown quantities. Show all your work.
1. A chemist has one solution that is 30% acid and another solution that is 60% acid. How much of each solution should be used to make 50 milliliters of a solution that is 40% acid?
2. A goldsmith has two alloys of gold. One is 40% gold and the other is 60% gold. How many grams of the 40% gold alloy must be mixed with the 60% gold alloy to obtain 100 grams of a 55% gold alloy? Let x be the amount of 40% gold alloy and y be the amount of 60% gold alloy. Equation 1 (Total amount): x + y = Equation 2 (Total gold): 0.40x + 0.60y = Solving for x and y, the goldsmith needs grams of the 40% alloy and grams of the 60% alloy.
3. A store sells two types of coffee beans. One type sells for $8 per pound and the other for $12 per pound. How many pounds of the $8 coffee should be mixed with 10 pounds of the $12 coffee to create a mixture that sells for $10 per pound?
5 pounds
10 pounds
15 pounds
20 pounds
4. A candy store wants to create a new mix of chocolates. They have dark chocolate costing $15/kg and milk chocolate costing $10/kg. They want to make 20 kg of a mix that sells for $12/kg. How much of each type of chocolate should they use?
5. When mixing two solutions of different concentrations, the final concentration will always be between the two initial concentrations.
True
False