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30 October, 05:27

A bag contains green marbles and blue marbles, 40 in total. The number of green marbles is 7 more than 2 times the number of blue marbles. How many green marbles are there?

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  1. 30 October, 06:58
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    Answer: There are 29 green marbles.

    Step-by-step explanation:

    x: green marbles

    y: blue marbles

    So we have an equation:

    x + y = 40

    while,

    2y = x - 7

    so set this equation equal to x, we have

    x = 2y + 7

    replace x into 2y + 7 for the first equation

    and this is how it looks:

    (2y + 7) + y = 40

    2y + y = 40 - 7

    3y = 33

    y = 11

    x = 40 - y

    x = 40 - 11

    x = 29
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