Question

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

Answer 1

Let B equal how many bags

2+4b=35

35-2=33

33/4=8.25kgs

Answer 2

15.5 kg (each)

Explanation:

Let
`w` be the weight of each checked bag (there are 2). Thus, we can write, from the information given:

`w+w+4=35\\2w+4=35`

Now we solve this equation for
`w` to find weight of each checked bag:

`2w+4=35\\2w=35-4\\2w=31\\w=(31)/(2)\\w=15.5`

So, the weight of each of his checked bags is 15.5 kg.