Ticket problems are word problems similar to
coin problems and
stamp problems as tickets may be denominated in specific values.
Related Topics:
More Algebra Word Problems and Algebra Help
Free Math Worksheets
Be careful to distinguish between the value of the items and the quantity of the
items.
A
table can be useful for distinguishing between
quantity and
value in this type of word problems.
Example:
The cost of tickets for a play is $3.00 for adults and $2.00 for children. 350 tickets were sold and $950 was collected. How many tickets of each type were sold?
Solution:
Step 1: Set up a table with quantity and value.

quantity 
value 
total 
$3 tickets 



$2 tickets 



together 



Step 2: Fill in the table with information from the question.
The cost of tickets for a play is $3.00 for adults and $2.00 for children. 350 tickets were sold and $950 was collected. How many tickets of each type were sold?
Let 
x = 
number of $3 tickets 

y = 
number of $2 tickets 

Total = 
quantity × value 

quantity 
value 
total 
$3 tickets 
x 
3 
3x 
$2 tickets 
y 
2 
2y 
together 
350 

950 
Step 3: Add down each column to get the equations
x + y = 350 (equation 1)
3x + 2y = 950 (equation 2)
Use Substitution Method
Isolate variable x in equation 1
x = 350 – y (equation 3)
Substitute equation 3 into equation 2
3(350 – y) + 2y = 950
1050 – 3y + 2y = 950
3y – 2y = 1050 – 950
y = 100
Substitute y = 100 into equation 1
x + 100 = 350
x = 250
Answer: 250 $3 tickets and 100 $2 tickets were sold.
Ticket Word Problems
Example:
Jim sold 120 tickets to a game. Adult tickets are $24 each and children tickets are $13 each. Sales are $2110. How many of each was sold?
Word problems with Theater Attendance
Example:
500 people see a play. Children are charged $15 and adults $25. Ticket proceeds are $11,250. How many children attended the play?
Algebra  Word Problems: With Movie Tickets
Example:
For a theater showing 202 tickets were sold. A child's ticket costs $6.00 and an adult's ticket costs $10.00. How many tickets of each were sold if the receipts totaled $1708.00?
Word problem  mixture of ticket sales
Example:
For opening night 328 tickets were sold. Students paid $2 each while nonstudents paid $4 each. If a total of $910 were collected, how many students and how many nonstudents attended?
Solve ticket word problems in three variables
Example:
At the arcade, Sammy won two blue tickets, 1 yellow ticket and 3 red tickets for a total of 1,500 points. Jamal won 1 blue, 2 yellow and 2 red for 1225 points. Yvonne won 2 blue, 3 yellow and 1 red for 1200 points. How much is each ticket worth?
Example:
The Goonies sold 785 concert tickets for a total of $17,650. If good tickets cost $40 and cheap tickets cost $15, how many of each type of ticket did they sell?
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