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?

Question

Mathematics

Isabella Benson

29 March, 20:11

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?

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Jesus Mendez · 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