The peace center is ready to reopen with a special rate. Tickets for the opening show cost 4.00 for adults and 1.50 for students. If 450 tic

Question

The peace center is ready to reopen with a special rate. Tickets for the opening show cost 4.00 for adults and 1.50 for students. If 450 tickets were sold for a total of 925 on opening night, how many adults and students tickets were sold?

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Khang Minh 4 years 2021-09-02T17:07:18+00:00 1 Answers 5 views 0

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  1. thienan
    0
    2021-09-02T17:08:48+00:00
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    Answer:there were 100 adults  and 350 children tickets sold .

    Step-by-step explanation:

    Step 1

    let number of adult tickets sold be represented as  x

    and that of children be  y

    such that the total number of adult and children who attended the center will be expressed as

    x+ y = 450——equation 1

     and the total cost of tickets sold can be expressed as

    4x+ 1.50 y= 925,…equation 2

    Step 2–Solving

    x+ y = 450——eqn1

    4x+ 1.50 y= 925,…eqn 2

     By elimination method , Multiply equation 1  by 4 and subtract equation 2 from  the new equation  formed

    4x+ 4y= 1800 —– eqn 3

    -4x+ 1.50 y= 925 eqn 2

    2.5y=875

    y= 875/2.5

    y=350

    to fnd x

    x+ y= 450

    x= 450- 350

    x= 100

    Therefore there were 100 adults  and 350 children tickets sold .

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