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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? |
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Answer» 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?
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