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The two largest stadiums are Marshfield and Bowden. Marshfield stadium has a capacity of 4,647 more than Bowden. If their combined capacity is 210, 355, find the capacity for each stadium.

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2 Answers 2

$$m=b+4647 \\ m+b=210355 \\ 2b+4647=210355 \\ b = 102854 \\ m = 107501$$

Here $m$ is the capacity of Marshfield, $b$ is the capacity of Bowden. In the third line I substitute the first equation into the second. In the last line I substitute the fourth line into the first.

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$$\text{M is the capacity of the Marshfield stadium }$$ $$\text{B is the capacity of the Bowden stadium }$$ $$M=4.647+B$$ $$M+B=210.355 \Rightarrow 4.647+B+B=210.355 \Rightarrow 2B=205.708 \Rightarrow B=102.854$$

$$M=4.647+B \Rightarrow M=107.501$$

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