SOLUTION: Mariana Coanda wishes to blend candy selling for $1.20 per lb. with candy selling for $1.80 per lb. to get a mixture that will be sold for $1.40 per lb. How many pounds of the $1.2

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Question 1065572: Mariana Coanda wishes to blend candy selling for $1.20 per lb. with candy selling for $1.80 per lb. to get a mixture that will be sold for $1.40 per lb. How many pounds of the $1.20 and the $1.80 candies should be used to get 45 lbs. of the mixture?
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
1.20x+1.80(45-x) = 1.40(45)
1.20x+81-1.80x = 63
1.20x-1.80x = 63-81
-0.60x = -18 divide both sides by 0.60, and remember -/- = +
x = 30
She needs 30 pounds of the 1.20 candy and 45-30 = 15 pounds of the 1.80