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 one year ago
How many pounds of nuts worth $1.10 per pound must be mixed with 36 pounds of candy worth $1.60 per pound to produce a party mix worth $1.50 per pound?
 one year ago
How many pounds of nuts worth $1.10 per pound must be mixed with 36 pounds of candy worth $1.60 per pound to produce a party mix worth $1.50 per pound?

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satellite73
 one year ago
Best ResponseYou've already chosen the best response.0lets put the number of pounds to be added as \(x\) at the moment you have 36 pounds, so if you add \(x\) pounds you will have \(36+x\) pounds the 36 pounds are worth \(36\times 1.6=57.6\) and adding \(x\) pounds will give you a total price of \(57.6+1.1x\) which you want to be \(1.5\times (36+x)\) so set \[57.6+1.1x=1.5(36+x)\] and solve for \(x\)

satellite73
 one year ago
Best ResponseYou've already chosen the best response.0probably easier to get rid of the annoying decimal by multiplying both sides by 10 and get \[576+11x=15(36+x)\]

satellite73
 one year ago
Best ResponseYou've already chosen the best response.0hope it is routine from there, if not let me know
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