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.
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.