Tickets for a show cost or
. If
tickets were sold for a total of
, how many tickets were sold for
?
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One way to solve this problem is to set up an equation using one variable. Let represent the number of
tickets sold; then
represents the number of
tickets sold.
There were
tickets sold.
Simultaneous equations can also be set up to solve the problem. Let represent the number of
tickets sold and
represent the number of
tickets sold.
Another way to solve this problem is to realize that each of the tickets costs at least . At
each, a total of
would be collected from selling all
of the tickets. Since the remaining
was the extra
collected from each of the
tickets,
of the
tickets were sold. This implies that
of the
tickets were sold.