SOLUTION: gummy bears sell for $3.50 per pound is to be mixed with jelly beans which sell for $5.50 per pound to obtain 6o pounds to sell at $4.00 per pound How many pounds of Jelly beans do

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Question 788648: gummy bears sell for $3.50 per pound is to be mixed with jelly beans which sell for $5.50 per pound to obtain 6o pounds to sell at $4.00 per pound How many pounds of Jelly beans do you need? thank you!
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
g for Gummy bears, j for Jelly beans, their counts in pounds.

Accounting for cost, 3.5g%2B5.5j=4.00%2860%29

Accounting for pounds of the mixture, g%2Bj=60

Simplify the cost equation before handling the system.
35g%2B55j=10%2A240
7g%2B11j=2%2A240
7g%2B11j=480

The system to use may best begin in these two equations:
highlight%287g%2B11j=480%29
highlight%28g%2Bj=60%29

Solving the system: multiply 7*R2 and subtract from R1. Find value of j; from this find value for g.




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Here is that described solving process carried to completion.
g%2Bj=60, same as 7g%2B7j=420.
%287g%2B11j%29-%287g%2B7j%29=480-420
7g%2B11j-7g-7j=60
11j-7j=60
4j=60
j=15
Using that back in the R2 equation or the pound-sum equation, you find g=45.