Question

Carl is boarding a plane. He has
\[2\] checked bags of equal weight and a backpack that weighs
\[4 \text{ kg}\]. The total weight of Carl's baggage is
\[35 \text{ kg}\].
Write an equation to determine the weight,
\[w\], of each of Carl's checked bags.
Find the weight of each of his checked bags.

Answer 1

Let the weight of each of Carl's checked bags be \(w\) kg. We know that he has 2 checked bags. Therefore, the total weight of his checked bags is \(2w\) kg.
We also know that the weight of Carl's backpack is 4 kg.
According to the problem, the total weight of Carl's baggage is 35 kg.
So we can write the equation:
\[2w + 4 = 35\]
Simplifying the equation, we get:
\[2w = 31\]
Dividing both sides by 2, we find:
\[w = \frac{31}{2}\]
Therefore, the weight of each of Carl's checked bags is \(\frac{31}{2}\) kg.