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

Question

2 years ago

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

Mathematics

2 answers:

Dimas [21] · Answer 1 · 2023-07-04T16:59:05+03:00

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

If the lower level has 100 less than 2 times as many seats as the upper level then the expression is 2x-100 and the middle level has 80 more than 3 times as many seats as the upper level so it's 3x+80 and lastly the top level is just x.

so now for the equation you would add all those expressions and they all should equal 2680:

$x+3x+80+2x-100=2680\\6x-20=2680\\6x=2700\\x=450$