Transcript Tickets for a show cost $3 or $5. If 50 tickets were sold for a total of $230, how many tickets.

Tickets for a show cost $3 or $5. If 50 tickets were sold for a total of $230, how
many tickets were sold for $3?
(a) 10
(b) 20
(c) 25
(d) 30
(e) 40
Correct Answer: A
Explanation:
One way to solve this problem is to set up an equation using one variable. Let n
represent the number of $3 tickets sold; then 50 - n represents the number of $5
tickets sold.
3n + 5(50 - n) = 230
3n + 250 - 5n = 230
20 = 2n
10 = n
There were 10 $3 tickets sold.
Simultaneous equations can also be set up to solve the problem. Let n represent the
number of $3 tickets sold and p represent the number of $5 tickets sold.