A national chain of clothing goods stores recently sent ship
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
The cost of a pair of jeans is ____ The cost of a jacket is _____ The cost of a sweater is ______ The cost of a shirt is ______
| Jeans | Jackets | Sweaters | Shirts | Total Cost | |
| Store A | 3000 | 3000 | 2100 | 4300 | $ 488,975 | 
| Store B | 2800 | 2500 | 2000 | 4500 | $ 447,575 | 
| Store C | 4000 | 3000 | 2300 | 7500 | $ 597,125 | 
| Store D | 6000 | 1700 | 700 | 8000 | $ 511,300 | 
Solution
Let the cost price of Jeans be w
Let the cost price of Jacket be x
Let the cost price of sweater be y
Let the cost price of shirt be z
we can write the equations now as
3000w + 3000x + 2100y + 4300z = $488,975
2800w + 2500x + 2000y + 4500z = $447,575
4000w + 3000x + 2300y + 7500z = $597,125
6000w + 1700x + 700y + 8000z = $511,300
solving these four equations to get the final cost price
The cost price of jeans = 32.75$
Cost price of jacket = 69$
Cost price of sweater = 45$
Cost price of shirt = 20.75$

