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A sporting goods store receives a shipment of 124 golf bags. The shipment includes two types of bags, full-size and collapsible. The full-size bags cost $38.50 each. The collapsible bags cost $22.50 each. The bill for the shipment was $3430. How much of each type of golf bag should be in the shipment? Show all work and verify your answer (prove that your answer is correct)

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Chimigirl13

The sporting goods store receives the shipment of 124 golf bags in total.

Let us assume that the number of full-sized bags = X

Then the number of collapsible golf bags = 124 - X

Cost of each full sized bags = $38.50

Cost of each collapsible bags = $22.50

Total cost of the 124 bags received by the sporting goods store = $3430

Then

(38.50)X + (124 - X)22.50 = 3430

(38.50X - 22.50X) + 2790 = 3430

16X = 3430 - 2790

16X = 640

X = 640/16

  = 40

So the number of full-sized golf bags received = 40

Then the number of collapsible golf bags received = 124 - 40

                                                                                = 84

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