Value Mixture problem with 2 variables

In this lesson, we learn how to solve a value mixture problem using two variables and two linear equations. We are given a word problem about mixing punch and juice to create a mixture worth $1.40 per quart. By letting x be the amount of punch and y be the amount of juice, we create two equations: the cost of punch plus the cost of juice equals the cost of the mixture, and the amount of punch mixed with the amount of juice equals 8. Solving for x and y, we find that we used 5 quarts of punch to create the mixture.

Shows how to solve a value mixture word problem using 2 variables and 2 linear equations.

• How do you write and solve a system of 2 equations to solve a mixture problem with two variables in Algebra?
• How can you draw a picture to help you solve a mixture problem?
• How do you check to make sure that your solution to a mixture problem is correct?
• If Beth combined punch worth $0.80 per quart with some juice worth $2.40 per quart to get an 8-quart mixture worth $1.40 per quart, how much punch was used?
• How do you solve the system of equations 80x + 240y = 140(8) and x + y = 8?