Question

The two stadiums with the largest capacities are Marsh Field and Bowden Stadium. Marshall Stadium has a capacity of 4933 more than Bowden. If the combined capacity for the two stadiums is 210,355, find the capacity for each stadium.

a) Marsh Field: 107,694, Bowden Stadium: 102,761
b) Marsh Field: 102,761, Bowden Stadium: 107,694
c) Marsh Field: 151,144, Bowden Stadium: 59,211
d) Marsh Field: 59,211, Bowden Stadium: 151,144

Answer 1

Let x represent the capacity of Bowden Stadium. The capacity of Bowden Stadium is 102,761 people, and the capacity of Marsh Field is 107,694 people.

Step-by-step explanation:

Let's assume the capacity of Bowden Stadium as x. According to the given information, Marshall Field has a capacity of 4933 more than Bowden Stadium.

Therefore, the capacity of Marsh Field is x + 4933.

The combined capacity for the two stadiums is given as 210,355. So, we can write the equation:
x + (x + 4933) = 210,355.

Simplifying the equation:
2x + 4933 = 210,355
2x = 205,422
x = 102,761

Therefore, the capacity of Bowden Stadium is 102,761 people, and the capacity of Marsh Field is 102,761 + 4933 = 107,694 people.