SOLUTION: Michelle is making hamburger, using 5lbs of ground beef that is 15% fat and 7lbs of ground beef that is 3% fat. What is total percentage of the fat in the mixture?

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Question 1051788: Michelle is making hamburger, using 5lbs of ground beef that is 15% fat and 7lbs of ground beef that is 3% fat. What is total percentage of the fat in the mixture?
Found 3 solutions by josmiceli, stanbon, MathTherapy:
Answer by josmiceli(19441) About Me  (Show Source):
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+.15%2A5+=+.75+
+.03%2A7+=+.21+
+%28+.75+%2B+.12+%29+%2F+%28+5+%2B+7+%29+=+.87%2F12+
+.87%2F12+=+.0725+
+.0725%2A%28100%29+=+7.25+
The mixture is 7.25% fat

Answer by stanbon(75887) About Me  (Show Source):
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Michelle is making hamburger, using 5lbs of ground beef that is 15% fat and 7lbs of ground beef that is 3% fat. What is total percentage of the fat in the mixture?
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Equation::
fat + fat = fat
0.15*5 + 0.03*7 = (x/100)(12)
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15*5 + 3*7 = 12x
75 + 21 = 12x
12x = 96
x = 8%
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Cheers,
Stan H.
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Answer by MathTherapy(10552) About Me  (Show Source):
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Michelle is making hamburger, using 5lbs of ground beef that is 15% fat and 7lbs of ground beef that is 3% fat. What is total percentage of the fat in the mixture?
Amount of fat in 5 lb mixture: 5 * .15 = .75 lbs
Amount of fat in 7 lb mixture: 7 * .03 = .21 lbs
Total fat in 12 lb mixture: .75 lbs + .21 lbs = .96 lbs
Total mixture: 12 lbs
Total percentage in final mixture: highlight_green%28matrix%281%2C3%2C+.96%2F12+=+.08%2C+or%2C+8%29%29