# 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 2022-09-24 Answered 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.
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Phoenix Morse
let nequired chocolate x pounds
now, $x+y=27$
And $8.6x+3y=5.9\left(x+y\right)\phantom{\rule{0ex}{0ex}}⇒8.6x+3\left(27-x\right)=5.9\left(x+27-x\right)\phantom{\rule{0ex}{0ex}}⇒8.6x-3x+81=159.3\phantom{\rule{0ex}{0ex}}⇒5.6x=159.3-81\phantom{\rule{0ex}{0ex}}⇒x=\frac{78.3}{5.6}\phantom{\rule{0ex}{0ex}}⇒x=13.98\phantom{\rule{0ex}{0ex}}⇒x=14\phantom{\rule{0ex}{0ex}}⇒y=13$
so needs 14 pounds chocolate
13 pounds trail