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Solving Mixture Problems with Tables

Observe how a mixture problem organized in a table can be represented as a linear equation.

Task 1

Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

Task 2

Teo has some cactus soil that costs $2.50 per pound, and 10 pounds of akadama volcanic granules that cost $8 per pound. How much soil must he combine with the akadama to obtain a cactus substrate that costs $6 per pound? Can this problem be still considered a “mixture problem”, even though it involves money?  If so, how would you set up the table to solve it?