WEBVTT
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It took Olivia and Jacob 155 minutes to clean their apartment.
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Given that Olivia cleaned for 85 minutes longer than Jacob, write an equation to express the amount of time that Olivia spent cleaning.
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Then solve the equation.
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If we let 𝑚 be the amount of time that Olivia spent cleaning, then Jacob would spend 𝑚 minus 85 minutes cleaning.
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This is because Olivia cleaned for 85 minutes longer than Jacob.
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The total amount of time that Olivia and Jacob cleaned for was 155 minutes.
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This means that we can write an equation 𝑚 plus 𝑚 minus 85 is equal to 155.
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Simplifying the left-hand side of the equation gives us two 𝑚 minus 85 equals 155.
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Adding 85 to both sides of this equation gives us two 𝑚 is equal to 240.
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And finally, dividing both sides by two gives us a value of 𝑚 of 120.
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This means that Olivia cleaned for 120 minutes.
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As Olivia cleaned for 120 minutes, Jacob must have cleaned for 35 minutes, as 120 minus 85 is equal to 35.
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These two numbers add up to the total time of 155 minutes.