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21 February, 02:07

A bag contains yellow marbles and red marbles, 16 in total. The number of yellow marbles is 1 more than 2 times the number of red marbles. How many yellow marbles are there?

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  1. 21 February, 02:52
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    11 yellow marbles

    Step-by-step explanation:

    Let y = yellow marbles

    r = red marbles

    There are 16 total marbles

    y+r = 16

    the number of yellow marbles is 1 more than twice the red marbles

    y = 2r+1

    Taking y+r = 16 and solving for r

    r = 16-y

    Substituting this into the second equation

    y = 2 (16-y) + 1

    Distribute

    y = 32 - 2y + 1

    Add 2y to each side

    y + 2y = 32 - 2y + 2y+1

    3y = 33

    Divide each side by 3

    3y/3 = 33/3

    y = 11

    There are 11 yellow marbles
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