Question
Varl is boarding a plane. He has 2 checked bags of equal weight and ackpack that weighs 4 kg . The total weight of Carl's baggage is 35 k Write an equation to determine the weight, \( w \), of each of Carl's ched ags. ind the weight of each of his checked bags.
Ask by Carroll Mccarthy. in the United States
Feb 27,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Each of Carl's checked bags weighs 15.5 kg.
Solution
Let w be the weight (in kg) of each checked bag. Then the total weight of the checked bags is 2w, and adding the 4 kg backpack gives the total weight of:
2w + 4 = 35
To find w, subtract 4 from both sides:
2w = 35 − 4
2w = 31
Now, divide both sides by 2:
w = 31/2
w = 15.5
Thus, each checked bag weighs 15.5 kg.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Beyond the Answer
To set up an equation for Carl's baggage situation, we can express the total weight of the baggage as the sum of the weights of his two checked bags and his backpack. If \( w \) represents the weight of each checked bag, then we can represent the total weight as: \[ 2w + 4 = 35 \] To find the weight of each checked bag, we can solve for \( w \). Subtract 4 from both sides: \[ 2w = 31 \] Now, divide both sides by 2: \[ w = 15.5 \] Therefore, each of Carl's checked bags weighs 15.5 kg.
