Please help, I am confused with this problem. My problem is: Beaver Stadium has a capacity of 1081 more than Michigan Stadium. If the combined capacity for the two stadiums is 213,483, find the capacity of each stadium?
(213,483 - 1,081) / 2 = _______ capacity of Michigan Stadium
Thank you so much, Ms. Sue. appreciate it very much.
You're very welcome, Nima.
To solve this problem, we need to set up a system of equations based on the given information. Let's represent the capacity of Michigan Stadium as M, and the capacity of Beaver Stadium as B.
From the problem, we know that Beaver Stadium has a capacity of 1081 more than Michigan Stadium. So, we can write the equation:
B = M + 1081 (Equation 1)
We also know that the combined capacity of both stadiums is 213,483. So, we can write another equation based on this information:
M + B = 213,483 (Equation 2)
Now, we have a system of two equations with two variables (M and B). We can solve this system to find the values of M and B.
To do this, we will use the method of substitution. We'll solve Equation 1 for M and substitute it into Equation 2.
From Equation 1, we have:
M = B - 1081
Substituting this expression for M into Equation 2, we get:
(B - 1081) + B = 213,483
Simplifying the equation, we have:
2B - 1081 = 213,483
Adding 1081 to both sides, we get:
2B = 213,483 + 1081
2B = 214,564
Dividing both sides by 2, we find:
B = 214,564 / 2
B = 107,282
So, the capacity of Beaver Stadium is 107,282.
To find the capacity of Michigan Stadium, we can substitute this value of B back into Equation 1:
107,282 = M + 1081
Subtracting 1081 from both sides, we get:
M = 107,282 - 1081
M = 106,201
Therefore, the capacity of Michigan Stadium is 106,201.
In conclusion, the capacity of Beaver Stadium is 107,282, and the capacity of Michigan Stadium is 106,201.