The total weight of the bag that the salesman is carrying for selling a machine including some personal stuff is 13.9 Kg.
<h3>What is a fraction?</h3>
A fraction is a rational number that consists of a numerator and a denominator, used to represent a part of the whole thing.
<h3>Calculation:</h3>
It is given that,
A salesman is carrying a big bag for selling a machine.
Consider the weight of the machine = w
So,
The weight of his machine is three kilograms and half a machine. I.e.,
w = 3kg +w/2
⇒ w/2 = 3kg
∴ w = 6kg
Thus, the weight of the machine is 6 Kg.
So, the weight of the repair tool for the machine = a half kilogram and one-fourth of the machine
⇒ 1/2Kg + 1/4w
⇒ 1/2 + 6/4
⇒ 2 Kg
The personal stuff weighs - four kilograms minus a fourth of the weight of the machine.
⇒ 4Kg - w/4
⇒ 4 - 6/4
⇒ 2.5 Kg
He has some supplies that weigh two-fifth of the machine and personal stuff combined.
⇒ 2/5(w + 2.5)
⇒ 2/5 × 8.5
⇒ 3.4 Kg
Thus, the total weight of the bag = 6 Kg + 2 Kg + 2.5 Kg + 3.4Kg = 13.9Kg.
Therefore, the total weight of the salesman's bag is 13.9 Kg.
Learn more about fractions here:
brainly.com/question/78672
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