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23 July, 12:11

There are 450 seats in the lower level of a concert hall with b balcony seats in upper level so far 170 tickets have been sold which Is 1/5 of the total number of seat in concert hall how many tickets sold are balcony seats

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  1. 23 July, 12:30
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    There are 400 balcony seats.

    Let b be the number of balcony seats. There are 450 lower seats; this makes the total number of seats 450+b. We know that there were 170 tickets sold, and that this is 1/5 the total number of seats; therefore our equation is

    1/5 (450+b) = 170

    Use the distributive property with the 1/5:

    1/5*450 + 1/5*b = 170

    90 + 1/5b = 170

    Subtract 90 from both sides:

    90 + 1/5b - 90 = 170 - 90

    1/5b = 80

    We can also write 1/5b as b/5:

    b/5 = 80

    Multiply both sides by 5:

    (b/5) * 5 = 80 * 5

    b = 400
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