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?
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 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?
You can use the Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem. Then click "Answer" to check your answer.
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