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)

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

angle addition postulate

2x=56

step-by-step explanation: