Question

A passenger traveling by air is allowed a maximum of 20kg luggage. A man has 4 bags weighing 3.5kg , 15kg, 2kg, 1.5kg. Find the excess weight of the luggage. Express the excess weight as a percentage of the maximum weight​

Answer 1

The passenger's luggage has an excess weight of 2 kg, which is 10% of the maximum weight.

Explanation:

First, we need to find the weight (W) of the 4 bags:

`W = 3.5 kg + 15 kg + 2 kg + 1.5 kg = 22 kg`

Now, knowing that the maximum allowed (M) is 20 kg the excess weight of the luggage is:

`W_(e) = W - M = 22 kg - 20 kg = 2 kg`

We can express the excess weight in percentage as follows:

`\% W_(e) = (W_(e))/(M) * 100 = (2 kg)/(20 kg)* 100 = 10 \%`

Therefore, the passenger's luggage has an excess weight of 2 kg, which is 10% of the maximum weight.

I hope it helps you!