SOLUTION: A 1000-seat multiplex is divided into 3 theaters. There are 204 seats in Theater 1, and 108 more seats in Theater 2 than Theater 3. How many seats are in Theater 2?
a) 796 b) 45
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Question 287839: A 1000-seat multiplex is divided into 3 theaters. There are 204 seats in Theater 1, and 108 more seats in Theater 2 than Theater 3. How many seats are in Theater 2?
a) 796 b) 452 c) 688 d) 344 e) 542
Answer by Stitch(470) (Show Source): You can put this solution on YOUR website!
Set-Up
------------
Let A = # of seats in theater 1
Let B = # of seats in theater 2
Let C = # of seats in theater 3
Equation 1:
Equation 2:
Equation 3:
Solution:
------------
We were given that A = 204, And equation 2 is solved for B. You can substitute these values into equation 3.
Equation 3:
Simplify
Subtract 312 from both sides
Divide both sides by 2
Now plug 344 into equation 2 for C.
Equation 2:
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