Tickets 4

Stacey is selling tickets to the school play. The tickets are $7 for adults and $5 for children. She sells twice as many adult tickets as children's tickets and brings in a total of $342. How many of each kind of ticket did she sell?

Correct answer:

a =  18
b =  36

Step-by-step explanation:

7a + 6b = 342
b = 2a

7•a + 6•b = 342
b = 2•a

7a+6b = 342
2a-b = 0

a = 18
b = 36

Our linear equations calculator calculates it.

We will be pleased if You send us any improvements to this math problem. Thank you!


Tips to related online calculators
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?

You need to know the following knowledge to solve this word math problem:

Related math problems and questions:

  • Tickets
    tickets Tickets to the zoo cost $4 for children, $5 for teenagers, and $6 for adults. In the high season, 1200 people come to the zoo every day. On a certain day, the total revenue at the zoo was $5300. For every three teenagers, eight children went to the zoo. H
  • The cost
    cinema2_1 The cost of the amusement ticket is 250 pesos for children and 500 pesos for adults. On a certain day, attendance at the park is 2 000, and the total gets revenue is 750000 pesos. How many children and how many adults bought the tickets?
  • Tickets 3
    cinema2_5 A total of 645 tickets were sold for the school play. They were either adult tickets or student tickets. There were 55 fewer student tickets sold than adult tickets. How many adult tickets were sold?
  • A candle
    candles A candle shop sells scented candles for $16 each and unscented candles for $10 each. The shop sells 28 candles today and makes $400. a. Write a system of linear equations that represents the situation. b. Solve the system to answer the questions: How many
  • There 5
    cinema There were 429 people at the play. Admission was 50 pesos each for adults and 35 pesos each for children. The receipts were 17265 pesos. How many adults and how many children attended?
  • A fisherman
    worms A fisherman buys carnivores to fish. He could buy either 6 larvae and 4 worms for $ 132 or 4 larvae and 7 worms per $ 127. What is the price of larvae and worms? Argue the answer.
  • Exchange rates
    penize_49 If the Canadian dollar appreciated by C$0.005 relative to the US dollar, what would be the new value of the Canadian dollar per US dollar? Assume the current exchange rate was US$1 = C$0.907.
  • Loan
    money_2 If you take a bank loan $ 10000 and we want to repay after the year, we have to pay the total amount $ 10320/ What is the annual interest rate on this loan?
  • The manila
    cinema2 The manila theater charged ticket prices as follow: adults php500, student php250, and children below 12 is php100. The theater collected a total of php100,000.00 from an audience of 250 people. What is a possible composition of the audience regarding the
  • Banknotes
    ducat $ 1390 was collected. How much was in $20 notes and how many in $50 notes in that order? How many solutions exists?
  • Sales off
    sweater If a sweater sells for $ 19 after a 5% markdown, what was its original price?
  • Scratches
    los The ticket seller sold 1,280 scratch cards in three days. On the second day, he sold 90 tickets less than on the first day, on the third day he sold 1.5 times more tickets than on the second day. How many tickets did he sell on the third day?
  • Commission
    sale_2 Daniel works at a nearby electronics store. He makes a commission of 15%, percent on everything he sells. If he sells a laptop for 293.00$ how much money does Daniel make in commission?
  • Saving 9
    penize_40 An amount of $ 2000 is invested at an interest of 5% per month. If $ 200 is added at the beginning of each successive month but no withdrawals. Give an expression for the value accumulated after n months. After how many months will the amount has accumula
  • Tabitha
    factory_butter_7 Tabitha manufactures a product that sells very well. The capacity of her facility is 241,000 units per year. The fixed costs are $122,000 per year, and the variable costs are $11 per unit. The product currently sells for $17. a. What total revenue is requ
  • Four pupils
    four_digit Four pupils divided $ 1485 so that the second received 50% less than the first, the third 1/2 less than a fourth, and fourth $ 154 less than the first. How much money had each of them?
  • Nine books
    books_42 Nine books are to be bought by a student. Art books cost $6.00 each and biology books cost $6.50 each . If the total amount spent was $56.00, how many of each book was bought?