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12 November, 07:20

The ratio of nails to screws is 3 to 5. The ratio of screws to hammers is 10 to 2. There are 30 nails.

Part A: How many screws are there?

Part B: How many hammers are there?

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  1. 12 November, 07:42
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    Number of screws = 50

    Number of hammers = 10

    Step-by-step explanation:

    Part A)

    The ratio of nails to screws is 3 to 5.

    Sum of the ratio of nail to screw is 3+5 = 8

    Let the sum of screws and nails be x.

    There are 30 nails. Therefore,

    x = 30 nails + n screws

    To calculate the total number of screws and nails,

    3/8 * total number of screw and nails

    = number of nails.

    3/8 * x = 30

    3x/8 = 30

    3x = 8 * 30 = 240

    x = 240/3 = 80

    Sum of nails and screws = number of nails + number of screws, n

    x = 30 + n

    80 = 30 + n

    n = 80 - 30 = 50

    Number of screws = 50

    Part B)

    The ratio of screws to hammers is 10 to 2.

    Sum of the ratio of screw to hammer is 10+2 = 12

    Number of screws = 50

    Let the sum of screws and hammer be y

    y = 50 screws + h hammers

    To calculate the total number of screws and hammers,

    10/12 * total number of screw and hammers = number of screws.

    10/12 * y = 50

    10y/12 = 50

    10y = 12 * 50 = 600

    y = 600/10 = 60

    Sum of screws and hammers = number of screws + number of hammers, h

    y = 50 + h

    60 = 50 + h

    h = 60 - 50 = 10

    Number of hammers = 10
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