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8 February, 13:19

A travel agency charges $64 for each bus ticket and $82 for each train ticket. Aaron has $520 to purchase tickets. If he buys 3 bus tickets, how many train tickets can Aaron buy?

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  1. 8 February, 13:46
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    The total number of train tickets Aaron can buy=4

    Step-by-step explanation:

    a). Determine first expression

    Let the number of each mode of transport be as follows;

    bus ticket=b

    train ticket=t

    b). Determine the second expression

    Let the total cost be expressed as shown;

    total cost = (cost per bus ticket*number of bus tickets) + (cost per train ticket*number of train tickets)

    where;

    total cost=$520

    cost per bus ticket=$64

    number of bus tickets=b=3

    cost per train ticket=$82

    number of train tickets=t

    replacing;

    (64*3) + (82*t) = 520

    192+82 t=520

    82 t=520-192

    82 t=328

    t=328/82=4

    t=4

    The total number of train tickets Aaron can buy=4
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