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Lê Quốc Trần Anh Coordinator

05/01/2018 at 17:34
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Fantasy gum is sold in 3-ounce and 10-ounce packages. One pound is equal to 16 ounces. If 76 packages were sold at B-Rite Mart last month and the total weight sold was less than 16 pounds, what is the greatest number of 10-ounce packages B-Rite could have sold?




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    Phan Thanh Tinh Coordinator 10/01/2018 at 09:23

    Let a, b be the number of 3-ounce packages and 10-ounce packages B-Rite sold 

    \(\left\{{}\begin{matrix}3a+10b< 16.16\\a+b=76\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}3a+3b+7b< 256\\3a+3b=228\end{matrix}\right.\)

    \(\Rightarrow7b< 28\Rightarrow b< 4\)

    So, the answer is 3


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