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

Answer 1

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