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How many marbles of each color were in the bowl in the end?

February 11th, 2012

The number of gray marbles to black marbles in a bowl was in the ratio of 4:5. Later, 8 gray marbles were taken out and 20 black marbles were added into the bowl. After that, the ratio of gray marbles to black marbles became 4:11.

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Posted in Marbles

4 Responses to “How many marbles of each color were in the bowl in the end?”


  1. Pokemonfan

    does the problem say how many marbles were in the bowl 2 begin with

    February 11th, 2012 at 2:13 pm

  2. rsnipes29512

    4x-8: 5x+20=4:11

    Work this out.

    4x-8 will be the number of gray
    5x+20 the number of black

    February 11th, 2012 at 3:10 pm

  3. falling.up13

    Let g represent the number of grey marbles
    Let b represent the number of black marbles

    4g/5b – 8g + 20b = 4g/11b

    how did we get this formula?

    simple:

    the ratio of grey to black marbles was 4:5, in other words, 4/5
    so we get the first term, which is: 4g/5b

    later, you took out 8 grey marbles
    so we get a second term, which is: – 8g

    then, we added 20 black marbles:
    so we get a third term, which is: + 20b

    after all of that adding and taking out, we end up with a ratio of 4:11
    so we get 4g/11b

    thus, the formula: 4g/5b – 8g + 20b = 4g/11b

    February 11th, 2012 at 3:54 pm

  4. Jun Agruda

    Beginning ratio:
    = 4x to 5x

    Ending ratio:
    (4x – 8) to (5x + 20) = 4 to 11

    Base number (x):
    4(5x + 20) = 11(4x – 8) 20x + 80 = 44x – 88
    5x + 20 = 11x – 22; 6x = 42
    x = 7

    No. of grey marbles:
    = (4 * 7) – 8
    = 28 – 8
    = 20

    No. of black marbles:
    = (5 * 7) + 20
    = 35 + 20
    = 55

    Answer: gray marbles, 20; black marbles, 55

    February 11th, 2012 at 4:27 pm

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