Hammond Wade
03/18/2024 · High School
One brown suitcase weighs 42 pounds. That brown suitcase weighs twice as much as a black suitcase. How much does the black suitcase weigh? a. Draw a strip diagram to represent the relationshin hetween tho nuantition
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Step-by-step Solution
To find the weight of the black suitcase, we can use the information given that the brown suitcase weighs twice as much as the black suitcase.
Let's denote the weight of the black suitcase as \( x \) pounds.
Since the brown suitcase weighs twice as much as the black suitcase, the weight of the brown suitcase is \( 2x \) pounds.
We are given that the brown suitcase weighs 42 pounds. Therefore, we can set up the equation:
\[ 2x = 42 \]
To find the weight of the black suitcase, we need to solve for \( x \) in the equation above.
Solve the equation by following steps:
- step0: Solve for \(x\):
\(2x=42\)
- step1: Divide both sides:
\(\frac{2x}{2}=\frac{42}{2}\)
- step2: Divide the numbers:
\(x=21\)
Quick Answer
The weight of the black suitcase is half of the brown suitcase, so it weighs 21 pounds.
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