A salesman is carrying a big bag for selling a machine. In addition to the machine that the salesman wants to sell, there is some personal stuff. The weight of his machine is three kilogram and half a machine. In addition to the machine, there is a repair tool for the machine that weighs half kilogram and one-fourth of the machine. The personal stuff weighs four kilogram minus a fourth of the weight of the machine. Finally, the salesman has some supplies that weigh two-fifth of the machine and personal stuff combined. What is the total weight in the bag of salesman? A. 9.87 Kg B. 12.73 Kg C. 15.12 Kg D. 16.16 Kg
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Total Weight in Bag = 6 + 2 + 2.5 + 3.4 = 13.9 kg
Step-by-step explanation:
Let say Weight of Machine = W
Weight of a machine = 3 + W/2
=> W = 3 + W/2
=> W/2 = 3
=> W = 6
Weight of a machine = 6 kg
Weight of repair tool for the machine = 1/2 + W/4
= 1/2 + 6/4
= 2 kg
Weight of The personal stuff = 4 - W/4
= 4 - 6/4
= 10/4
= 5/2
= 2.5 kg
Weight of Supplies = (2/5)( W + 2.5)
= (2/5)(6 + 2.5)
= (2/5)(8.5)
= 3.4 kg
Total Weight in Bag = 6 + 2 + 2.5 + 3.4 = 13.9 kg
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