A national chain of clothing goods stores recently sent shipments to the followi

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

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

Explanation / Answer

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$

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