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The distance between two cities on a map is 17 centimeters, and the actual distance between them is 68 kilometers.
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If the distance between two other cities on the same map is 15 centimeters, determine the real distance between them.
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So let’s take the map distance compared to the real distance.
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Between the first set of cities, it was 17 centimeters on the map and 68 kilometers in real life.
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And between the second set of cities, there’s 15 centimeters on the map, but we don’t know the real distance between them.
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So we can call that 𝑥.
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And the way that we can solve this is to cross multiply.
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So we take 17 centimeters times 𝑥 kilometers and we get 17𝑥 centimeters kilometers.
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And then multiplying 68 times 15, we get 1020 centimeters kilometers.
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And now to solve for 𝑥, we want 𝑥 in kilometers, so we wanna get rid of the 17 centimeters.
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So the 17 and the centimeters cancel.
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On the right, the centimeters cancel.
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And then 1020 divided by 17 is equal to 60 kilometers.
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So the number of kilometers for 𝑥 would be 60.
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Therefore, the real distance between them will be 60 kilometers.