SOLUTION: Lemon drops worth $3.80 per pound are to be mixed with jelly beans that cost $2.40 per pound to make a mixture worth $2.96 per pound. How many pounds of each candy should be used?

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: Lemon drops worth $3.80 per pound are to be mixed with jelly beans that cost $2.40 per pound to make a mixture worth $2.96 per pound. How many pounds of each candy should be used?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 198270: Lemon drops worth $3.80 per pound are to be mixed with jelly beans that cost $2.40 per pound to make a mixture worth $2.96 per pound. How many pounds of each candy should be used?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let d= pounds of lemon drops to use
Let j= pounds of jelly beans to use
380d= cost of lemon drops in mixture (in cents)
240j= cost of jelly beans in mixture (in cents)
380d+%2B+240j+=+296
I think there is a missing piece of information, or it's
not really clear how many pounds of the mixture
they want to make. I need another equation such as:
d+%2B+j+=+1 if they want to make 1 pound of mixture
Multiply both sides by 240
240d+%2B+240j+=+240
Now subtract this from the other equation
380d+%2B+240j+=+296
-240d+-+240j+=+-240
----------------------
140d+=+56
d+=+.4
d+%2B+j+=+1
j+=+1+-+.4
j+=+.6
.4 pound of lemon drops and .6 pounds of jelly beans are needed
to make 1 pound of mixture.
Note that you could scale this up if you wanted 10 pounds of mixture
4+%2B+6+=+10, or use any other scale factor.