The amount of water in a barrel decreases 9 5/8 pints in 7 weeks. The water decreases the same amount each week. What is the change in the a

Question

The amount of water in a barrel decreases 9 5/8 pints in 7 weeks. The water decreases the same amount each week. What is the change in the amount of water in pints in the barrel in 12 weeks?

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Phúc Điền 3 months 2021-07-29T14:25:25+00:00 1 Answers 6 views 0

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    2021-07-29T14:26:51+00:00

    Answer:

    6 7/8 pints

    Step-by-step explanation:

    The amount of water in a barrel decreases 9 5/8 pints in 7 weeks. The water decreases the same amount each week. What is the change in the amount of water in pints in the barrel in 12 weeks?

    From the question, we know that:

    7 weeks = 9 5/8 pints

    12 weeks = x

    Cross Multiply

    7x = 12 × 9 5/8

    x = 12 × 9 5/8/7

    x =( 12 × 77/8 ) ÷ 7

    x = 12 × 77/8 × 1/7

    x = 12 × 11/8

    x = 16 1/2 pints

    The change in the amount of water in pints in the barrel in 12 weeks is calculated as:

    16 1/2 pints – 9 5/8 pints

    Lowest common denominator = 8

    7 + (4 – 5/8)

    7 + (-1/8)

    = 6 7/8 pints

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