3
QuizMultiple Choice

Solving Real-World Multistep Equations

Question 3 • NC-Foundations of Math 1 (Fall) [1st 9 Weeks]

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
A
450 seats
B
800 seats
C
1,250 seats
D
1,430 seats

Explanation

Let the upper level have x seats. Then the lower level has 2x − 100 seats, and the middle level has 3x + 80 seats. The total gives x + (2x − 100) + (3x + 80) = 2,680, so 6x − 20 = 2,680 and x = 450. The middle level has 3(450) + 80 = 1,430 seats, so the answer is D, 1,430 seats.

AI-written and checked against the verified answer.

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