Ask Question
4 October, 15:54

Miguel is selling tickets to a barbecue. Adult tickets cost $8.00 and children's tickets cost $5.00. He sells seven more children's tickets than adult tickets. The total amount of money he collects is $269.00. How many adult tickets and how many chidrents tickets did he sell?

tickets

+4
Answers (1)
  1. 4 October, 16:03
    0
    Adult tickets = 18

    Children tickets = 25

    Step-by-step explanation:

    We can write 2 equations and solve:

    let number of adult tickets be a and number of children tickets be c

    Adult ticket cost is 8 and children cost is 5 and total money is 269, thus:

    1. 8a + 5c = 269

    Also, he sells seven more children's tickets than adult tickets, thus:

    2. c - 7 = a

    Now substituting 2 into 1, we can solve for c:

    8a + 5c = 269

    8 (c-7) + 5c = 269

    8c - 56 + 5c = 269

    13c = 325

    c = 325/13 = 25

    Now using equation 2, we can solve for a:

    c - 7 = a

    25 - 7 = a

    a = 18

    So, 18 adult tickets and 25 children's ticket
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Miguel is selling tickets to a barbecue. Adult tickets cost $8.00 and children's tickets cost $5.00. He sells seven more children's tickets ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers