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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.

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Write a linear function: word problems

Full solution

Q. 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.

Set up the equation: Let's set up the equation. Carl has $2$ checked bags of equal weight $w$ and a backpack that weighs $4$ kg. The total weight is $35$ kg. $\newline$ So, the equation is $2w$ (weight of the checked bags) + $4$ (weight of the backpack) = $35$ (total weight).
Solve for w: Now, let's solve for w. Subtract the weight of the backpack from the total weight. $\newline$ $2w = 35 - 4$ $\newline$ $2w = 31$
Divide to find weight: Divide both sides by $2$ to find the weight of one checked bag. $\newline$ $w = \frac{31}{2}$ $\newline$ $w = 15.5$

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