A school allots £1500 to spend on a trip to the theatre.
Theatre tickets have a regular cost of £24 each and are on offer for
1/4
off.
A train ticket for the day will cost £25 each.
If 3 teachers and the maximum number of students attend, how much money will the school have left over?
Answers
Answer:
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
Let 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?
Show Step-by-step Solutions
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?
Show Step-by-step Solutions
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?
Show Step-by-step Solutions
Solve ticket word problems in three variables
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?
Show Step-by-step Solutions
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?
Word problem - mixture of ticket sales
Example:
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?
Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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