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17 August, 09:28

Divide 72 into 2 groups so the ratio is 3 to 5

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Answers (2)
  1. 17 August, 11:03
    0
    27 and 45

    Step-by-step explanation:

    3x + 5x = 72

    8x=72

    x=9

    3*9=27 (27/3=9)

    5*9=45 (54/5=9)
  2. 17 August, 12:22
    0
    Step-by-step explanation:

    Let x = the number of rolls in group 1

    Let y = the number of rolls in group 2

    We know that the ration of rolls is 3 to 5, so we know that:

    3x = 5y

    x = 5/3 * y

    We also know that the total number of rolls is 72, so we know that:

    x + y = 72

    Now we have two equations and two variables, so we can solve.

    Using substitution on the second equation, we have this:

    (5/3 * y) + y = 72

    Now solve for y:

    8/3 * y = 72

    y = 72 * 3/8

    y = 27

    Now we can plug this value into the second equation to find the value of x:

    x + y = 72

    x + 27 = 72

    x = 72 - 27

    x = 45

    Therefore, one group has 27 rolls, the other has 45.

    You can prove that the ration is 3 to 5 by dividing the first value by 3 and the second value by 5:

    27 / 3 = 9

    45 / 5 = 9
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