Question

A party mix is made by adding nuts that sell for $2.50 per kg to a cereal mixture that sells for $1 per kg. How much of each should be added to obtain 30 kg of a mix that will sell for $1.50 per kg?

Answer 1

Let x=weight of $2.50/kg nuts and y=weight of $1/kg nuts.

2.5x+y=30×1.5=$45, x+y=30, so y=30-x.

2.5x+30-x=45, 1.5x=15, x=10kg so y=20kg.

10kg of $2.50/kg nuts plus 20kg of $1/kg nuts.