A national chain of clothing goods stores recently sent shipments to the followi
ID: 3070580 • Letter: A
Question
A national chain of clothing goods stores recently sent shipments to the following stores. The number of items shipped to each store and their total wholesale cost is shown in the table below. Find the wholesale price of one of each item.
Jeans
Jackets
Sweaters
Shirts
Total Cost
Store A
3000
3000
2100
4300
$485,225
Store B
2800
2500
2000
4500
444,375
Store C
3000
2000
1400
5500
410,625
Store D
6000
1900
700
6000
480,200
Jeans
Jackets
Sweaters
Shirts
Total Cost
Store A
3000
3000
2100
4300
$485,225
Store B
2800
2500
2000
4500
444,375
Store C
3000
2000
1400
5500
410,625
Store D
6000
1900
700
6000
480,200
Explanation / Answer
let wholesale price of jeans=$x
let wholesale price of jackets=$y
let wholesale price of sweaters=$z
let wholesale price of shirts=$t
now, according to question,
3000x+3000y+2100z+4300t=485225
2800x+2500y+2000z+4500t=444375
3000x+2000y+1400z+5500t=410625
6000x+1900y+700z+6000t=480200
solving the above for equation (by 4 variable solver)
we get
x=32.5
y=68
z=45
t=20.75
wholesale price of jeans=$32.5
wholesale price of jackets=$68
wholesale price of sweaters=$45
wholesale price of shirts=$20.75
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