Ticket problems are word problems similar to coin problems and stamp problems as tickets may be denominated in specific values.

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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

x3

3

x$2 tickets

y2

2

ytogether

350

950

Step 3: Add down each column to get the equations

x + y =350(equation 1)3

x+ 2y= 950(equation 2)Use Substitution Method

Isolate variablexin 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= 100Substitute

y= 100 into equation 1

x +100 = 350

x= 250

Answer: 250 $3 tickets and 100 $2 tickets were sold.

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?

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

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

For opening night 328 tickets were sold. Students paid $2 each while non-students paid $4 each. If a total of $910 were collected, how many students and how many non-students attended?

Solve word problems in three variables

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?

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.

*(Clicking "View Steps" on the answer screen will take you to the Mathway site, where you can register for a free ten-day trial of the software.)*

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