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Math Help - Modular Arithmetic

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    Exclamation Modular Arithmetic

    A hardware store owner purchased 144 (a gross) identically priced hammers from a wholesaler. When the owner wanted to set his selling price, he checked the shop's record for the wholesale price. His accountant had written $1,#25.4# The #'s represent smudged numbers which may or may not be the same, determine the wholesale cost and the price of a single hammer.
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  2. #2
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    Quote Originally Posted by ksiemsen24 View Post
    A hardware store owner purchased 144 (a gross) identically priced hammers from a wholesaler. When the owner wanted to set his selling price, he checked the shop's record for the wholesale price. His accountant had written $1,#25.4# The #'s represent smudged numbers which may or may not be the same, determine the wholesale cost and the price of a single hammer.
    144\times x=1,a25.4b

    8|1,a25.4b \implies b=4

    9|1,a25.44 \implies a=2

    Whole sale cost is $1,225.44.

    Price of a single hammer is $1,225.44/144=$8.51
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