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28 August, 07:23

Chester and Mary have pencils in a ratio of 2:4. Together they have 24 pencils. What percentage of the total pencils does Mary have? Round your answer to the nearest whole number.

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  1. 28 August, 07:25
    0
    67%

    Step-by-step explanation:

    To calculate the percentage, first add the numbers in the ratio together.

    2 + 4 = 6

    Divide the total number of pencils by this number

    24 : 6 = 4

    Multiply this number by each side of the ratio (2 : 4)

    4 x 2 = 8

    4 x 4 = 16

    the ratio of pencils that each of them has is 8 : 16

    another way to express this is that:

    Chester has 8/24 pencils and

    Mary has 16/24 pencils

    to work out the percentage of the pencils Mary has, convert the fraction to a decimal then multiply by 100 to work out the percentage.

    16 : 24 = 0.667

    0.667 x 100 = 66.7 (round to the nearest whole number)

    67%
  2. 28 August, 07:52
    0
    She has 67% of the pencils.

    Chester:Mary = 2:4 = 1:2

    So, in the simplest case:

    If Chester has one pencil Mary would have two.

    There are three pencils.

    Mary has two.

    2/3 = 0.667 = 67% (rounded)
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