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math question?

Jen Butler has been pricing​ Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $111.  Two adults and three children must pay $79.  Find the price of the​ adult's ticket and the price of a​ child's ticket.

1 Answer

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  • ?
    Lv 7
    4 years ago

    3x+4y = 111

    2x+3y = 79

    x+y = 32 ;#1-#2

    2x+2y = 64 ;*2

    y = 15 ; #2-#4

    x = 17

    x = 17 adult

    y = 15 child

    check

    3x+4y = 111

    3(17)+4(15) = 51+60 = 111

    2x+3y = 79

    2(17)+3(15) = 34+45 = 79

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