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24 September, 14:50

A concession stand sold hamburgers, salted pretzels, and hot dogs at a basketball game. Hamburgers were sold for $3.00, salted pretzels were sold for $2.25, and hot dogs were sold for $2.00. The total number of hamburgers, salted pretzels, and hot dogs sold was 144, and the total amount of money from these items was $354.25. If $82.00 was made just from selling hot dogs, how many salted pretzels were sold?

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  1. 24 September, 15:09
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    110

    Step-by-step explanation:

    Set hamburgers as h,

    salted pretzels as p,

    hot dogs as d.

    h+p+d=144

    (3.00) h + (2.25) p + (2.00) d=354.25

    =>3h+2.25p+2d=354.25

    we also know (2.00) d=82 = > d=41

    We make 3h+2.25p+2d=354.25 = > 3h+2.25p=272.25

    and h+p+d=144 = > h+p=103

    Set h=p-103

    Substitution

    3 (p-103) + 2.25p=272.25

    3p-309+2.25p=272.25

    (5.25) p=581.25

    p=581.25/5.25=110.7142857

    We round down = >110.
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