Question

Diego bought some raisins and walnuts to make trail mix. Raisins cost $4 a

pound and walnuts cost $8 a pound. Diego spent $30 on both ingredients.
Write an equation to represent this constraint. Let x be pounds of raisins
and y be pounds of walnuts.

Answer 1

The equation to represent the constraint of Diego spending $30 on both raisins and walnuts is 4x + 8y = 30.

Step-by-step explanation:

The equation to represent the constraint of Diego spending $30 on both raisins and walnuts can be written as:

4x + 8y = 30

Where x represents pounds of raisins and y represents pounds of walnuts.

In this equation, 4 represents the cost of raisins per pound and 8 represents the cost of walnuts per pound.

The total cost, $30, is on the right side of the equation.

To solve this equation, you can substitute different values for x and y and see which combination satisfies the equation.