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28 May, 07:29

Last Sunday, we noticed that at our dance show 1,000 tickets were sold. For an adult, the cost of a ticket was $2 and for a child it was $1. When allwas said and done, we had a total amount of $1,850. Write the number ofadult tickets and children's tickets that were sold on Sunday.

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  1. 28 May, 07:36
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    A+c=1,000

    2a+1c=$1850

    Multiply top equation by 2 so you can get 2 numbers that cancel each other out

    a+c=1,000 (2)

    2a+2c=2,000

    2a+1c=$1,850

    2a-2a=0

    cancel out 2a's by subtraction

    and since you used subtraction, subtract the rest of the equation.

    2c-1c=C

    2,000-1850=150

    C=150

    *150 child tickets sold*

    Same process, but for C (though is not necessary because the numbers already cancel out)

    a+c=1,000

    2a+c=$1850

    c-c=0

    Again, since you used subtraction, subtract again

    1a-2a = - a

    1,000-1850 = - 850

    since both are negative, multiply by - 1 to make them positive

    a=850

    *850 adult tickets sold*

    850+150 = 1,000

    (check work)
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