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MathematicsMathematics
30 December, 04:23

Kaya devoted 2/5 of her study time to mathematics, 3/20 of her time to social studies, 1/3 of her time to chemistry and the remaining 42 minutes to English. How much time she spend studying social studies?

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  1. 30 December, 04:52
    0
    54 minutes

    Step-by-step explanation:

    The sum of fractions is ...

    2/5 + 3/20 + 1/3 = 11/20 + 1/3 = (3·11 + 20·1) / (20·3) = 53/60

    Then the 42 minutes devoted to English represents 1 - 53/60 = 7/60 of her study time.

    Kaya's social studies time is 3/20 = 9/60 of her total, so the ratio of SS to Eng is ...

    SS : Eng = (9/60) : (7/60) = 9 : 7

    When we multiply the numbers in this ratio by 6, we find ...

    SS : Eng = 54 : 42

    Kaya spent 54 minutes studying social studies.
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Home » Mathematics » Kaya devoted 2/5 of her study time to mathematics, 3/20 of her time to social studies, 1/3 of her time to chemistry and the remaining 42 minutes to English. How much time she spend studying social studies?
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