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?

If you need immediate math help from PAID TUTORS right now, click here. (paid link)
Click here to see ALL problems on Linear Equations And Systems Word Problems

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(12146) (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(6797) (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