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12 February, 02:42

Jen Butler has been pricing Speed-Pass train fares for a group trip to New YOrk. Three adults and four children must pay $132. Two adults and three children must $94. Find the price of the adults ticket and the price of a child's ticket.

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  1. 12 February, 02:49
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    A: adults

    C: children

    3A+4C = $132

    2A+3C = $94

    2A+3C=$94

    2A+3C-3C = 94-3C

    2A = 94-3C

    2A/2 = (94-3C) / 2

    A = 94/2-3C/2

    so, 3 (47-3C/2) + 4C=$132

    C=$18 price of the children ticket

    and by using 2A+3C=$94, C=18

    2A+3*18=94

    2A=40 ... A=$20 price of the adults ticket

    Good luck
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