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Coordinate Geometry, a la Shmoop. Alvin, Belinda and Cletus do not get along.

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In fact, all three have restraining orders against each other.

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Best not to ask. Let's just say that not everyone should be allowed to own a paintball gun.

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Alvin is at point A. Belinda must stay 12 yards away, and she makes sure to put exactly

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that much distance between them. Cletus has to stay 18 yards away from Belinda,

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and he is at point C. However... these three can't be trusted to

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be left alone. Which is where Doogie comes in.

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He's an officer who has been assigned to keep an eye on the rabble-rousers, and make sure

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they don't break the terms of the restraining orders.

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So he's somewhere between Alvin and Cletus.

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If there are 5 yards between Belinda and Doogie, how much distance could be between Alvin and

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Doogie? Here are your choices:

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Well, we know there are 12 yards between Alvin and Belinda...

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...so if Belinda and Doogie are 5 yards apart, Doogie must be either 5 yards closer to Alvin

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or 5 yards further away from him. Looks like Doogie is 12 plus-or-minus 5 yards

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away from Alvin... ...which is either 7 or 17 yards.

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Hullo, Answer "E." Good luck, Doogie -- you might want to consider

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wearing an athletic protector. You don't want to

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catch a paintball in your... area.

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