Solving a Mixture Problem using 2 variables

This video shows how to solve the following mixture problem using algebra by writing a system of equations with 2 variables. Problem: Mia wants to make a punch by mixing some apple juice costing $2.25 per quart with cranberry juice costing $3.25 per quart. How many quarts of each should she use if she wants to make 100 quarts costing $2.50 per quart?

• How do you solve mixture problems in Algebra?
• If you want to make a punch by mixing apple juice costing $2.25 per quart with cranberry juice costing $3.25 per quart, how many quarts of each should she use to make 100 quarts costing $2.50 per quart?
• How can a picture help you solve a mixture problem?
• How do you know what two equations to write for a mixture problem?
• How do you solve a system of two equations with two unknowns?
• How do you solve a system of equations using substitution?
• How can you check to make sure your solution is correct in a mixture problem when you use systems of equations to solve?