Posted by **Dean** on Tuesday, February 22, 2011 at 3:09pm.

A company has factories located in New Jersey, Ohio, and Georgia where it manufactures handbags, shoes, and belts. How many days should the company operate each factory in order to exactly fill the order of 2150 handbags, 2300 shoes and 2500 belts? Use the information below.

Handbags

# of handbags produced per day

New Jersey 10

Ohio 70

Georgia 60

Shoes

# of shoes produced per day

New Jersey 20

Ohio 50

Georgia 80

Belts

# of belts produced per day

New Jersey 40

Ohio 30

Georgia 90

- Math -
**Helper**, Tuesday, February 22, 2011 at 4:23pm
x = number of days to operate NJ

y = number of days to operate OH

z = number of days to operate GA

10x + 70y + 60z = 2150 (Handbags)

20x + 50y + 80z = 2300 (Shoes)

40x + 30y + 90z = 2500 (Belts)

Solve for x, y, and z simultaneously

If you want, post back with your answer and I'll check.

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