SOLUTION: Please help me solve this problem: (Mixture Problem) 1. A producer of packaged frozen meat wants to market mixed meat at P115.00 per kilogram. How many kilograms of pork meat w

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Question 206812: Please help me solve this problem: (Mixture Problem)
1. A producer of packaged frozen meat wants to market mixed meat at P115.00 per kilogram. How many kilograms of pork meat worth P120.00 per kilogram must be mixed with 20 kilograms of chicken meat worth P100.00 per kilogram and 5 kilograms of beef meat worth P160.00 per kilogram to produce a satisfactory mixture?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A producer of packaged frozen meat wants to market mixed meat at P115.00 per kilogram.
How many kilograms of pork meat worth P120.00 per kilogram must be mixed with 20
kilograms of chicken meat worth P100.00 per kilogram and 5 kilograms of beef meat
worth P160.00 per kilogram to produce a satisfactory mixture?
:
Let p = amt of pork required
:
120p + 100(20) + 160(5) = 115(p+20+5)
:
120p + 2000 + 800 = 115(p+25)
:
120p + 2800 = 115p + 2875
:
120p - 115p = 2875 - 2800
:
5p = 75
p = 75%2F5
p = 15 kilo of pork required
:
:
Check solution:
120(15) + 100(20) + 160(5) = 115(15+20+5)
1800 + 2000 + 800 = 115(40)
4600 = 4600