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26 February, 02:45

The manager at a concert venue keeps track of the number of adult tickets and student tickets sold each day and the total money received. On Tuesday, a total of 89 tickets were sold, and the money collected was $1,119. If adult tickets are sold for $15 and student tickets are sold for $11, how many adult tickets and student tickets were sold?

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  1. 26 February, 04:17
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    A=number of adult tickets

    s=number of student tickets

    so

    total of 89 tickets sold

    a+s=89

    total collected was 1119

    15a+11s=1119

    so we have

    a+s=89

    15a+11s=1119

    subsitution

    a+s=89

    minus s from both sides

    a=89-s

    subsitte 89-s for a in the other equation

    15a-11s=1119

    15 (89-s) + 11s=1119

    1335-15s+11s=1119

    1335-4s=1119

    minus 1335 from both sides

    -4s=-216

    divide both sides by - 4

    s=54

    subsitute back

    a=89-s

    a=89-54

    a=35

    35 adult tickets

    54 student tickets
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