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Students in a class are given a fulcrum, a meter stick, and a $200\text{ gram}$ mass. Their goal is to use the fulcrum and mass to determine the mass of the meter stick. They place the $200 \text{ gram}$ mass at the $0 \text{ cm}$ of the meter stick, and set the meter stick on the fulcrum on a point at which it balances.

Which of the following values indicates the correct mass of the meter stick and the location of the fulcrum?

A

$250\text{ grams}$ with the fulcrum at the $30 \text{ cm}$ point.

B

$75\text{ grams}$ with the fulcrum at the $10 \text{ cm}$ point.

C

$133\text{ grams}$ with the fulcrum at the $20 \text{ cm}$ point.

D

$80\text{ grams}$ with the fulcrum at the $40 \text{ cm}$ point.

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