SOLUTION: A butcher has some hamburger that is 18% fat and some that is 15% fat. How many pounds of each should be mixed to make 87 lb of hamburger that is 16% fat?

Question 831074: A butcher has some hamburger that is 18% fat and some that is 15% fat. How many pounds of each should be mixed to make 87 lb of hamburger that is 16% fat?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = pounds of meat with 18% fat needed
Let = pounds of meat with 15% fat needed
---------------------------------
(1)
(2)
-------------------------------
(2)
(2)
(2)
Multiply both sides of (1) by and
subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
(1)
29 pounds of meat with 18% fat are needed
58 pounds of meat with 15% fat are needed
check:
(2)
(2)
(2)
(2)
OK

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