A store owner wants to develop a new snack mix by mixing chocolate and trail mix. How many pounds of chocolate costing $13.20 per pound should be mixed with 10 pounds of trail mix costing $3.90 per pound to create a mixture worth $9.16 per pound

Question

Mathematics

Piper Bowen

25 April, 12:34

A store owner wants to develop a new snack mix by mixing chocolate and trail mix. How many pounds of chocolate costing $13.20 per pound should be mixed with 10 pounds of trail mix costing $3.90 per pound to create a mixture worth $9.16 per pound

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Answers (1)

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Brynn Ingram · Answer 1

13lbs

Step-by-step explanation:

x = number of pounds of chocolate/lbs

13.20 (x) + 3.90 (10) = 9.16 (x + 10)

13.2x + 39 = 9.16x + 91.6 (x100)

1320x + 3900 = 916x + 9160

404x = 5260

x = 1315/101 = 13.0198 ... ⇒ 13lbs