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12 December, 05:41

In order to make a bowl you need 5 pieces of 1/2 inch board that measures 6 inches by 6 inches. How many bowls can you make from a sheet of wood that measures 4 feet by 8 feet?

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  1. 12 December, 08:50
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    25

    Step-by-step explanation:

    Each of the 5 pieces that goes into making a bowl is 1/2 ft square, so has an area of ...

    A = s² = (1/2 ft) ² = 1/4 ft²

    Since there are 5 pieces required, the board area required for a bowl is ...

    area for bowl = 5 * 1/4 ft² = 5/4 ft²

    The 4 ft by 8 ft sheet of wood has an area of ...

    A = LW = (8 ft) (4 ft) = 32 ft²

    __

    We can solve this proportion to find the number of bowls:

    1 bowl / (5/4 ft²) = x bowls / (32 ft²)

    Multiplying by 32 ft², we get ...

    x bowls = (1 bowl) (32 ft²) / (5/4 ft²) = (4/5·32) bowls = 25.6 bowls

    You can make 25 bowls from a 4 ft by 8 ft sheet of wood.
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