SOLUTION: How many pounds of extra-lean hamburger that is 7% fat must be mixed with 30 pounds of hamburger that is 15% fat to obtain a mixture that is 10% fat?

Question 145486This question is from textbook College Algebra
: How many pounds of extra-lean hamburger that is 7% fat must be mixed with 30 pounds of hamburger that is 15% fat to obtain a mixture that is 10% fat? This question is from textbook College Algebra

Found 2 solutions by solver91311, josmiceli:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Pounds of extra lean:
Pounds of regular:
Total weight of hamburger after the mixture has been made:

Weight of the fat in the extra lean:
Weight of the fat in the regular:
Weight of the fat in the total:

The weight of the fat in each of the components of the mixture must add up to the weight of the fat in the total mix, so:

. Just solve for to get your answer.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = pounds of extra-lean hamburger to be added
In words:
(pounds of fat in the extra-lean) + (pounds of fat in reg hamburger)
divided by total pounds of meat = 10% fat mixture

multiply both sides by

50 lbs of extra-lean hamburger must be used
check:

OK
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