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Back to 4.3 Solve Mixture Applications with Systems of Equations

4.3 Exercise 12

Avg difficulty 2.5

Translate to a system of equations and solve:

Sammy has most of the ingredients he needs to make a large batch of chili. The only items he lacks are beans and ground beef. He needs a total of 20 pounds combined of beans and ground beef and has a budget of $3 per pound. The price of beans is $1 per pound and the price of ground beef is $5 per pound. How many pounds of beans and how many pounds of ground beef should he purchase?

OpenStax Intermediate Algebra 2e, 4.3 Solve Mixture Applications with Systems of Equations, exercise 12

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Adapted from Intermediate Algebra 2e © 2020 Rice University. Licensed under CC BY 4.0. Source: Intermediate Algebra 2e. Imported at revision 77a933c.