A store owner want to develop a new snack mix by mixing chocolate and trail mix. How many pounds of chocolate costing $8.60 per pound should be mixed with trail mix costing $3.00 per pound to create a 27 pound mixture worth $5.90 per pound.

Kallie Fritz

Kallie Fritz

Answered question

2022-09-24

A store owner want to develop a new snack mix by mixing chocolate and trail mix. How many pounds of chocolate costing $8.60 per pound should be mixed with trail mix costing $3.00 per pound to create a 27 pound mixture worth $5.90 per pound.

Answer & Explanation

Phoenix Morse

Phoenix Morse

Beginner2022-09-25Added 10 answers

let nequired chocolate x pounds
now, x + y = 27
And 8.6 x + 3 y = 5.9 ( x + y ) 8.6 x + 3 ( 27 x ) = 5.9 ( x + 27 x ) 8.6 x 3 x + 81 = 159.3 5.6 x = 159.3 81 x = 78.3 5.6 x = 13.98 x = 14 y = 13
so needs 14 pounds chocolate
13 pounds trail

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