SOLUTION: I can't figure out the formula to use for this problem, I have the answer in the back of the book, but I don't understand how to get there. Can you please show me the step by step

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Question 201950This question is from textbook Beginning and Intermediate Algebra
: I can't figure out the formula to use for this problem, I have the answer in the back of the book, but I don't understand how to get there. Can you please show me the step by step process on how to get there?
mixing candy:
lemon drops are to be mixed with jelly beans to make 100 lbs of mixture. How many pounds of each candy should be used?
lemon drops/ $1.90 lb. jelly beans/ $1.20 lb. mixture/ $1.48 lb
Thank you
Erica
This question is from textbook Beginning and Intermediate Algebra

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
This is a common type of problem.
I like this process to solve these.
lemon drops are to be mixed with jelly beans to make 100 lbs of mixture. How many pounds of each candy should be used?
lemon drops/ $1.90 lb. jelly beans/ $1.20 lb. mixture/ $1.48 lb
Let the number of pounds of lemon drops be represented by l
Let the number of pounds of jellybeans be represented by j
You are told the number of pounds in the mixture l+%2B+j+=+100. This is one equation
You are told the price/pound of lemon drops, jelly beans and mixture.
So you can setup a second equation
l%2A1.90+%2B+j%2A1%2C20+=+100%2A1.48
1.9l+%2B+1.2j+=+148
+++l+%2B++++j+=+100
Let's use elimination to solve
1.9l+%2B+1.2j+=+148
1.9l+%2B+1.9j+=+190 This is our first equation times 1.9. Now subtract
-----------------------
+-0.7j+=+-+42
+j+=+42%2F.7+=+60
l+%2B+j+=+100
l+=+100+-+j
l+=+40
Check you answer
Does 1.9%2A40+%2B+60%2A1.2+=+148???