SOLUTION: The manager of a discount clothing store received two shipments of fall clothing. The cost of the first shipment which contained ten identical sweaters and twenty identical jacket

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Question 194397: The manager of a discount clothing store received two shipments of fall clothing. The cost of the first shipment which contained ten identical sweaters and twenty identical jackets was $800. The second shipment at the same prices, contained five of the same sweaters and fifteen of the same jackets. The second shipment was $550. Find the cost of one jacket.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
20J+10S=800
15J+5S=550 MULTIPLY THIS EQUATION BY -2 & ADD.
-30J-10S=-1100
20J+10S=800
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-10J=-300
J=-300/-10
J=$30 THE PRICE OF EACH JACKET.
20*3+10X=800
600+10X=800
10X=800-600
10X=200
X=200/10
X=$20 FOR EACH SWEATER.
PROOF:
15*30+5*20=550
450+100=550