Question

The two stadiums with the largest capacities are Marshfield Stadium and Bowden Stadium. Marshfield Stadium has a capacity of 7,675 more than Bowden. If the combined capacity for the two stadiums is​ 210,355, find the capacity for each stadium.

Answer 1

Answer: Capacity of Marshfield Stadium is 109,015 and capacity of Bowden is Bowden.

Explanation:

Let x = Capacity of Marshfield Stadium.

y = Capacity of Bowden.

As per given, we have

x - y = 7,675 (i)

x+y = 210,355 (ii)

2x = 218030 (iii)

`\Rightarrow\ x= (218030)/(2)\\\\\Rightarrow\ x= 109015`

Put value of x in (i) , we get

109015 - y = 7675

⇒ y= 109015 - 7675

⇒ y= 101,340

Hence, capacity of Marshfield Stadium is 109,015 and capacity of Bowden is Bowden.