SOLUTION: A food manufacturer produces regular and lite smoked sausages. A regular
sausage 72% pork and 28% turkey, and a lite sausage is 22% pork and 78%
turkey. The company has just rece
Question 1169858: A food manufacturer produces regular and lite smoked sausages. A regular
sausage 72% pork and 28% turkey, and a lite sausage is 22% pork and 78%
turkey. The company has just received a shipment of 2,000 pounds of pork and
2,000 pounds of turkey. How many pounds of each type of sausage should be
produced to use all the meat in this shipment? Found 2 solutions by ikleyn, AnlytcPhil:Answer by ikleyn(52787) (Show Source):
Let x = the number of pounds of regular sausage produced
0.72x = the number of pounds of pork used to make the x pounds of regular sausage
0.28x = the number of pounds of turkey used to make the x pounds of regular sausage
Let y = the number of pounds of lite sausage produced
0.22y = the number of pounds of pork used to make the y pounds of lite sausage
0.78y = the number of pounds of turkey used to make the y pounds of lite sausage
Multiply both equations by 100
Divide both equations by 2
To eliminate x, multiply the first equation by 14 and
the second by -36
Add them term by term
Substituting in
So they should produce 2240 pounds of regular sausage and 1760 pounds of
lite sausage.
Edwin
