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7 January, 05:09

There are 765 marbles in a box. There are twice as many blue marbles as green marbles. There are three times as many red marbles as blue. How many blue marbles are there in the box?

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  1. 7 January, 05:36
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    B=blue

    g=green

    r=red

    2 times as many blue as green

    b=2g

    3 times as many red as blue

    r=3b

    subsitute 2g for b

    r=3 (2g) = 6g

    r=6g

    r+g+b=765

    so we subsitute

    r=6g

    g=g

    b=2g

    6g+g+2g=765

    add like terms

    9g=765

    divide both sides by 9

    g=85

    subsitute

    b=2b

    b=2 (85)

    b=170

    170 blue
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