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March 27, 2017

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to identical jars are filled with equal amount of marbles. the marbles are coloured red or white. the ratio of red to white marblesis 7:1 in jar 1 and 9:1 in jar 2. if there are 90 white marbles altogether, determine the number of red marbles in jar 2.

  • Math - ,

    R1/W1 = 7
    R2/W2 = 9
    W1 + W2 = 90
    R1 + W1 = R2 + W2

    Four equations in four unknowns.

    Change the last equation by substitution to get rid of R1 and R2.

    7W1 + W1= 9W2 + W2
    8W1 - 10 W2 = 0
    10W1 + 10W2 = 900
    18 W1 = 900
    W1 = 50
    R1 = 350
    W2 = 40
    R2 = 360

    There are 360 red marbles in jar 2

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