SOLUTION: Can someone please help me? A butcher has some hamburger that is 21% fat and some that is 15% fat. How many pounds of each should be mixed to make 84 pounds of hamburger that is 17
Algebra.Com
Question 28998: Can someone please help me? A butcher has some hamburger that is 21% fat and some that is 15% fat. How many pounds of each should be mixed to make 84 pounds of hamburger that is 17% fat?
Thank You.
Answer by longjonsilver(2297) (Show Source): You can put this solution on YOUR website!
Let x = amount of 21%fat hamburger
Now for the trickiest part...
how much of the 15%fat hamburger is there?
answer is "the rest of the 84lb", so this is (84-x)
The rest is just about BEFORE = AFTER since you add the BEFORE together to get the AFTER.
BEFORE
xlb of 21% + (84-x)lb of 15%
0.21x + 0.15(84-x)
0.21x + 12.6 - 0.15x
0.06x + 12.6
AFTER
84lb of 17%
0.17*84
14.28
so, 0.06x + 12.6 = 14.28
0.06x = 1.68
x = 1.68/0.06
x = 28lb
so we need 28lb of the 21% fat and 56lb of the 15% fat.
jon.
RELATED QUESTIONS
A butcher has some hamburger that is 21% fat and some that is 15% fat. How many pounds of (answered by lwsshak3)
A butcher has some hamburger that is 21% fat and some that is 15% fat. How many pounds of (answered by josmiceli)
A butcher has some hamburger that is 19% fat and some that is 12% fat. How many pounds of (answered by solver91311)
A butcher has some hamburger that is 24% fat and some that is 21% fat. How many pounds of (answered by richwmiller)
A butcher has some hamburger that is 29% fat and some that is 15% fat. How many pounds of (answered by richwmiller,drk)
A butcher has some hamburger that is 18% fat and some that is 15% fat. How many pounds of (answered by josmiceli)
A butcher has some hamburger that is 20% fat and some hamburger that is 12% fat. How many (answered by checkley77)
A butcher has some hamburger that is 22% fat and some hamburger that is 11% fat. How many (answered by richwmiller)
A butcher has some hamburger that is 22% fat and some that is 10% fat. How many pounds of (answered by ewatrrr)