Question

a party mix is made up by adding nuts that sell for $8.00 per pound to a cereal mix that sells for $6.00 per pound. How much of each should be used to get a 59 pound mix that sells for $6.50 per pound?

Answer 1

To determine the amounts of nuts and cereal mix for a 59-pound party mix at $6.50 per pound, set up two equations: one for the total weight (x + y = 59) and one for the total cost (8x + 6y = 59 * 6.50) and solve the system of equations.

Step-by-step explanation:

The student is asking how to determine the correct proportions of nuts and cereal mix to achieve a 59-pound party mix that sells for $6.50 per pound, when nuts sell for $8.00 per pound and the cereal mix sells for $6.00 per pound. We can set this up as a system of linear equations.

Let x be the pounds of nuts and y be the pounds of cereal mix. We have two equations:

Solving the system of equations gives us the exact amount of nuts and cereal mix needed to create the party mix at the desired price and weight.

The student is asking how to determine the correct proportions of nuts and cereal mix to achieve a 59-pound party mix that sells for $6.50 per pound, when nuts sell for $8.00 per pound and the cereal mix sells for $6.00 per pound. We can set this up as a system of linear equations.

Let x be the pounds of nuts and y be the pounds of cereal mix. We have two equations:

• The total weight equation: x + y = 59
• The total cost equation: 8x + 6y = 59 * 6.50

Solving the system of equations gives us the exact amount of nuts and cereal mix needed to create the party mix at the desired price and weight.