Asporting goods store receives a shipment of 124 golf bags. the shipment includes two types of bags, full-sized and collapsible. the full-size bags cost $38.50 each. the collapsible bags cost $22.50 each. the bill for the shipment is $3430. how many of each type of golf bag are in the shipment?

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