Posted by Dean on .
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,
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.