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Madison’s house, the library, and the gym are on the same road.
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She lives 10 and a half miles from the library, which is one-half mile farther from her house than the gym.
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How far is it from Madison’s house to the gym?
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Here, we have our road, here’s Madison’s house, and here is the library.
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We already know that the distance between Madison’s house and the library is 10 and one-half miles.
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We also know that the library is one-half of a mile farther from her house than the gym.
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And if the library is farther, then the gym is closer to Madison’s house.
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We know that the gym is one-half a mile closer to Madison’s house.
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Using all this information, we need to figure out the distance from Madison’s house to the gym.
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To find the answer, we take the 10 and a half miles that it is from Madison’s house to the library and we subtract the one-half miles closer that the gym is to her house.
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10 and a half minus a half equals 10.
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The distance from Madison’s house to the gym is 10 miles.