math

posted by .

a ticket booth sold 456 tickets and collected $2311.50 in ticket sales. Adult tickets are $6.50 and child tickets are $2. how many tickets of each type were sole?

  • math -

    I'll try to help.
    You know that a certain number of child tickets and a certain number of adult tickets must add up to equal 456.
    Say x = adult tickets (number)
    y = # child tickets

    So x + y = 456
    And the money collected is :
    6.5x + 2y = 2311.5

    2(x + y = 456) ==> 2x + 2y = 912.
    6.5x + 2y = 2311.5
    - (2x + 2y = 912)
    4.5x = 1399.5
    x = 1339.5 / 4.5 = 311

    311 + y = 456
    y = 145
    SO # adult tickets = 311 # child tickets = 145
    Hope that helped. Peace out.

  • math -

    Adult tickets --->
    children tickets --> 456-x

    6.5x + 2(456-x) = 2311.5
    times 2
    13x + 4(456-x) = 4623
    9x = 2799
    x = 311

    so 311 adult tickets and 145 children tickets

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    A ticket booth sold 446 tickets and collected $3,188 in ticket sales. Adult tickets are $9.00 and children tickets are $2.00. How many adult tickets were sold?
  2. Algebra

    The school that Trevon goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 12 adult tickets and 4 student tickets for a total of $188. The school took in $171 on the second day by selling …
  3. math

    a movie theater charges $7 for an adult's ticket and $4 for a child's ticket. on a recent night the sale of child's tickets was three times the sale of adult's tickets. if the total anount collected for ticket sales was not more than …
  4. Math 70

    At a county fair, an adult ticket sold for $6.00, a senior citizen’s ticket for $4.50, and a child’s ticket for $2.00. On Friday, the number of adults and senior citizen’s tickets sold was 5 more than the number of children’s …
  5. Math

    A movie theater sold a total of 390 adult and child tickets on a certain day. The theater sold 2.25 times as many adult tickets as child tickets. Each adult ticket cost $8 and each child ticket cost $3. How much revenue did the theater …
  6. Math/ASU

    A movie theater sold a total of 520 adult and child tickets on a certain day. The theater sold 2.25 times as many adult tickets as child tickets. Each adult ticket cost $9 and each child ticket cost $2. How much revenue did the theater …
  7. Algebra. Please help me understand.

    Write a linear system of equations that can be used to solve these problems. Then, solve to get your final answer. 3. The school that Kevin goes to is selling tickets to a fieldtrip. On the first day of ticket sales, the school sold …
  8. Algebra!

    Can you please assist with this question: At a school production, adult tickets cost $7.00 each and student tickets costs $4. The Johnson family is going to the 7:30PM show and will purchase half as many adult tickets as student tickets. …
  9. math

    San Pablo is having a festival. Tickets for children under 12 cost $2, adult tickets are $6 and senior citizen tickets are $3. One sixth of the tickets sold were children’s tickets. The 40 senior citizens with tickets sat in the …
  10. Algebra

    Set up and solve a system of equations The school that Joe goes to is selling tickets to a spring musical. On the first day of ticket sales the school sold 12 adult tickets and 2 child for a total of $122. The school took $160 on the …

More Similar Questions