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16 July, 02:54

Henry is building bookshelves to sell at a furniture store. First, he built 10 small bookshelves and 1 large bookshelf, using a total of 412 nails. Later, he built 10 small bookshelves and 8 large bookshelves, using a total of 776 nails. How many nails does Henry use to build the shelves?

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  1. 16 July, 03:12
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    Henry uses 36 nails in large bookshelves and 52 nails in small bookshelves.

    Step-by-step explanation:

    Let in each large bookshelves Henry uses x nails and in each small bookshelves, Henry uses y nails.

    Now, he built 10 small bookshelves and 1 large bookshelf, using a total of 412 nails.

    So, 10x + y = 412 ... (1)

    Again, he built 10 small bookshelves and 8 large bookshelves, using a total of 776 nails.

    So, 10x + 8y = 776 ... (2)

    Now, subtracting equation (1) from equation (2) we get, 7y = 364

    ⇒ y = 52

    Again, from equation (1) we get, 10x = 412 - 52 = 360

    ⇒ x = 36

    Therefore, Henry uses 36 nails in large bookshelves and 52 nails in small bookshelves. (Answer)
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