Question

Kaitlyn's catering is planning an office reception. The office administrator has requested a candy mixture that is 25% chocolate. Kaitlyn has available mixtures that are either 50% chocolate or 10% chocolate. How much of each type should be mixed to get a 20-lb mixture that is 25% chocolate?

Answer 1

let 'x' represent the amount of 50% mixture used, then '20-x' represents the amount of 10% mixture used



0.25(20) = 0.50x + 0.10(20-x)

solving for 'x' we have x=7.5



20-7.5 = 12.5



7.5 pounds of 50% mixture should be combined with 12.5 pounds of 10% mixture