Question

Matthew mixes pretzels that sell for $1.50 a pound with cereal

that sells for $3.00 a pound. He wants to make 12 pounds of a
mixture to sell for $2.00 a pound. How many pounds of each
should he use?
Answer

Answer 1

Let p be the number of pounds of pretzels and c be the number of pounds of cereal. We can set up the following system of equations to represent the given information:

p + c = 12

1.5p + 3c = 24

Solving this system using elimination, we find that p = 6 and c = 6. Thus, Matthew should use 6 pounds of pretzels and 6 pounds of cereal.