During the summer holidays sarah earns pocket money by mowing lawn. She can mow 6 lawns in 1 1/2 and clean the pool in one-sixth of an hour

Question

During the summer holidays sarah earns pocket money by mowing lawn. She can mow 6 lawns in 1 1/2 and clean the pool in one-sixth of an hour

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Mít Mít 4 years 2021-07-27T10:51:07+00:00 1 Answers 10 views 0

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  1. Acacia
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    2021-07-27T10:52:34+00:00
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    Answer:

    It will take Sarah 2 1/2 hours to mow 10 lawns

    It will take Sarah 1 2/3 hours to clean 10 pools

    Step-by-step explanation:

    During the summer holidays, Sarah earns pocket money by mowing the lawn. She can mow 6 lawns in 1 1/2 hour and clean a pool in one-sixth of an hour. How long does Sarah take to clean 10 pools and 10 lawns?

    Number of lawns : Time to mow lawns = 6 : 1 1/2

    = 6 : 3/2

    Number of lawns : Time to mow lawns = 10 : x

    6 : 3/2 = 10 : x

    6 ÷ 3/2 = 10/x

    6 * 2/3 = 10/x

    12/3 = 10/x

    Cross product

    12 * x = 3 * 10

    12x = 30

    x = 30/12

    x = 2 6/12

    x = 2 1/2 hours

    It will take Sarah 2 1/2 hours to mow 10 lawns

    Number of pools cleaned : time taken = 1 : 1/6

    Number of pools cleaned : time taken = 10 : x

    1 : 1/6 = 10 : x

    1 ÷ 1/6 = 10/x

    1 * 6/1 = 10/x

    6 = 10/x

    Cross product

    6 * x = 10

    6x = 10

    x = 10/6

    x = 1 4/6

    x = 1 2/3 hours

    It will take Sarah 1 2/3 hours to clean 10 pools

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