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 Jackets Sweaters Shirts Total Cost Store A 4000 3000 2300 4100 $526,225 Store B 3800 2500 2100 4300 479,525 Store C 3000 3000 2500 6500 551,375 Store D 600 1800 60 7000 489,450 The cost of a pair of jeans is S The cost of a jacket is S The cost of a sweater is S The cost of a shirt is $

Explanation / Answer

setting up the equations from the table

4000x + 3000y + 2300z + 4100w = 526225

3800x + 2500y + 2100z + 4300w = 479525

3000x + 3000y + 2500z + 6500w = 551375

6000x + 1800y + 600z + 7000w = 489450

solving the equations we get

x = 32.25

y = 71

z = 44

w = 20.25

cost of a pair of jeans = $ 32.25

cost of a jacket = $ 71

cost of a sweater = $ 44

cost of a shirt = $ 20.25

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