Problema Solution
A theater holds 2,680 seats. The lower level has 100 less than 2 times as many seats as the upper level. The middle level has 80 more than 3 times as many seats as the upper level. How many seats are in the middle level?
Answer provided by our tutors
We will assume that there are 3 level of seats: lower, middle and upper level.
Let
x = the number of seats at the upper level
2x - 100 = the number of seats at the lower level
80 + 3x = the number of seats at the middle level
Since the total number of seats is 2,680 we have:
x + (2x - 10) + (80 + 3x) = 2680
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click here to see the equation solved for x
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x = 435 seats
The number of seats at the middle level is:
80 + 3x = 80 + 3*435 = 1385 seats.