Question

Orlando is mixing nuts and cereal squares to make a party mix. Nuts sell 7$ a pound and cereal squares sell for 4$ a pound. If Orlando wants to make 30 pounds of party mix at a cost of $6.50 a pound, how many nuts and cereal squares should he use?

Answer 1

25 pounds of nuts and 5 pounds of cereal squares.

Explanation:

Let amount of nuts be x and cereals squares be y pounds.

x + y = 30

7x + 4y = 30*6.5

7x + 4y = 195 Multiply the first equation by -4:

-4x - 4y = -120 Adding:

3x = 75

x = 25 pounds.

y = 30 - 25 = 5 pounds.