SOLUTION: How many pounds of gourmet candy selling for $1.40 per pound should be mixed with 4 pounds of candy selling for $2.40 per pound to obtain a mixture selling for $1.80 per pound?
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Question 619984: How many pounds of gourmet candy selling for $1.40 per pound should be mixed with 4 pounds of candy selling for $2.40 per pound to obtain a mixture selling for $1.80 per pound? Answer by Maths68(1474) (Show Source):
You can put this solution on YOUR website! Candy type-1
Pounds = x
Cost of Candy per pound = 1.40
Total Cost of x pound candies =1.40*x=$1.40x
Candy type-2
Pounds = 4
Cost of Candy per pound = 2.40
Total Cost of 4 pound candies =2.40*4=$9.60
Mixture
Mixture = (Candy type-1)+(Candy type-2)
Mixture = (x+4)pounds
Cost of mixture per pound = $1.80
Total Cost of mixture = 1.80(x+4)=1.80x+7.2
Total Cost of mixture per pound = Total Cost of candy type-1 per pound + Total cost of candy type-2 per pound
1.80x+7.2=1.40x+9.60
1.80x-1.40x=9.60-7.2
0.40x=2.4
x=2.4/0.40
x=6 pounds
6 pounds of gourmet candy selling for $1.40 per pound should be mixed with 4 pounds of candy selling for $2.40 per pound to obtain a mixture selling for $1.80 per pound.
Check
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Total Mixture Cost = Total cost of candy type-1 + Candy type-2
(6+4)*1.80=6*1.40+4*2.40
10*1.80 = 8.4+9.6
18=18
