Question

At&t stadium home of the dallas cowboys of the NFL, seats approximately 11,200 more fans than Gillette Stadium, hime of the New England Patriots. CenturyLink Field, home of the Seattle Seahawks, 3800 fewer than Gillette Stadium. If the total seats in these three stadiums is 213,800, how many seats are in each lf the three stadiums?

Answer 1

At&t Stadium (Dallas cowboys) = 80,000 seats

CenturyLink Field (Seattle Seahawks) = 65,000 seats

Gillette Stadium (New England Patriots) = 68,800 seats

Explanation:

The three stadiums all together have a total of 213,800 seats

We'll call X the Gillette Stadium seats. We already had that the At&t stadium had X seats + 11,200 seats. And also we knew that the CenturyLink Field had X seats - 3,800 seats. The we can write the following equation,

X + (X + 11,200) + (X - 3,800) = 213,800 seats (the total of seats of the 3 stadiums together). We need to find the value for X, that represents the Gillette stadium seats

Then we can write X + X + 11,200 + X - 3,800 = 213,800 seats,

This is 3X + 11,200 - 3,800 = 213,800,

3X + 7,400 = 213,800,

3X = 213,800 - 7,400,

X = 206,400/3 seats

X = 68,800 seats

As At&t is X + 11,200 seats, then it accommodates 80,000 people

And as CenturyLink Field is X - 3,800, it accommodates 65,000 people