# A.2.12.2 Trail Mix

You will now examine the same situation involving two quantities (raisins and walnuts), but there are now two constraints (cost and weight). Here is a situation you saw earlier: Diego bought some raisins and walnuts to make trail mix. Raisins cost \$4 a pound and walnuts cost \$8 a pound. Diego spent \$15 on both ingredients. Write an equation to represent this constraint. Let x be the pounds of raisins and y be the pounds of walnuts.

Graph your equation from above on the graph below.

Complete the table with the amount of one ingredient Diego could have bought given the other. Here is a new piece of information: Diego bought a total of 2 pounds of raisins and walnuts combined. Write an equation to represent this new constraint. Use the same variables as before: let x be the pounds of raisins and y be the pounds of walnuts.

Graph your equation from above on the graph below.

Complete the table with the amount of one ingredient Diego could have bought given the other. Diego spent \$15 and bought exactly 2 pounds of raisins and walnuts. How many pounds of each did he buy?