A candy store sells walnuts for $8 per pound, and pecans for $2 per pound. If the store wants to create a bag of mixed nuts that sells for $6 per pound, how many pounds of pecans must be mixed with two pounds of walnuts?

Question

Mathematics

Amy

12 November, 23:32

A candy store sells walnuts for $8 per pound, and pecans for $2 per pound. If the store wants to create a bag of mixed nuts that sells for $6 per pound, how many pounds of pecans must be mixed with two pounds of walnuts?

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Answers (1)

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Cristina Odom · Answer 1

Answer: 1/3 pound pecans and 2/3 pound walnuts.

Explanation:

x = = > weight of walnuts

y = = > weight of pecans

║ x + y = 1

║ 8x + 2y = 6

║ x = 1 - y

║ 8x + 2y = 6

8 (1 - y) + 2y = 6

8 - 8y + 2y = 6

6y = 2

y = 1/3

x = 1 - 1/3 = 2/3