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.