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11 January, 07:52

A bag contains blue marbles and red marbles, 42 in total. The number of blue marbles is 3 less than 4 times the number of red marbles. How many blue marbles are there?

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  1. 11 January, 09:36
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    The number of blue marbles = 33

    Step-by-step explanation:

    Let b represent blue marbles and r represent red marbles

    there are b + r = 42 marbles in total

    The number of number of blue marbles is 3 less than 4 times the number of red marbles

    we can express it as b = 4r - 3

    Since there are b + r = 42 marbles in total and b = 4r - 3 we can rewrite the equation

    b + r = 42



    r + 4r - 3 = 42



    5r - 3 = 42



    5r = 45



    r = 9 The number of red marbles = 9

    The number of blue marbles 42 - 9 = 33
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