# Math

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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 -

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

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