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21 June, 10:44

A new carpet cleaning company claims that they can clean 3 times as many carpets in 1 week as another company. If both companies combined can 332 carpets in 1 week, how many carpets does the new company clean?

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  1. 21 June, 12:16
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    The number of carpets cleaned by new company per week is 249

    Step-by-step explanation:

    Let us assume:

    The number of carpets cleaned by old company in 1 week = m

    So, the number of carpets cleaned by new company in 1 week

    = 3 x (Number of carpets cleaned by old company)

    = 3 (m) = 3 m

    Total carpet cleaned altogether in a week = 332

    So, Total Carpets cleaned by both companies in 1 week

    = Number of carpets cleaned by (Old + New) company in 1 week.

    = m + 3 m = 4 m

    ⇒ 4 m = 332

    or, m = 332 / 4 = 83, or m = 83

    Hence number of carpets cleaned by old company per week = m = 83

    The number of carpets cleaned by new company per week

    = 3 m = 3 x 83 = 249
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