SOLUTION: A grocer makes a natural breakfast cereal by mixing oat cereal that cost $2 per pound with dried fruit and nuts that cost $9 per pound. How many pounds of each are needed to make

Question 186675: A grocer makes a natural breakfast cereal by mixing oat cereal that cost $2 per pound with dried fruit and nuts that cost $9 per pound. How many pounds of each are needed to make 60 pounds of the cereal if it will sell for $ 7 per pound and yield a prifit of $ 195 after the entire 60 pounds is sold.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A grocer makes a natural breakfast cereal by mixing oat cereal that cost $2 per
pound with dried fruit and nuts that cost $9 per pound. How many pounds of each
are needed to make 60 pounds of the cereal if it will sell for $7 per pound
and yields a profit of $195 after the entire 60 pounds is sold.
:
Let x = amt of $9 stuff
The required total is 60 lb, therefore:
(60-x) = amt of $2 stuff
:
Find the original cost of the 60 lb mixture
:
(60*7) - 195 = $225 is his cost for 60 lb
which is:
= $3.75 cost per lb
:
The mixture equation:
9x + 2(60-x) = 3.75(60)
:
9x + 120 - 2x = 225
:
9x - 2x = 225 - 120
:
7x = 105
x =
x = 15 lb of $9 stuff
then
60 - 15 = 45 lb of $2 stuff
:
;
Check solution:
9(15) + 2(45) =
135 + 90 = 225
:
60*7 = 420 - 225 = $195 profit

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