Mathematics

Question

A bag contains blue marbles and red marbles, 48 in total. The number of blue marbles is 9 more than 2 times the number of red marbles. How many blue marbles are there?

2 Answer

  • Answer:

    There are 35 blue marbles

    Step-by-step explanation:

    b = blue marbles

    r = red marbles

    r+b = 48

    b = 2r+9

    Substitute b =2r+9 into the first equation

    r + (2r+9) = 48

    Combine like terms

    3r +9 = 48

    Subtract 9 from each side

    3r+9-9 = 48-9

    3r = 39

    Divide each side by 3

    3r/3 = 39/3

    r = 13

    There are 13 red marbles

    We need to find the blue marbles

    b =2r+9

    b = 2(13) +9

       = 26+9

       = 35

    There are 35 blue marbles

  • Answer:

    35 Blue Marbles.

    Step-by-step explanation:

    This is a complex problem, since the value of 2R has to be divided by 2 beforing adding the value of B, to get the total of 48.


    B=35          R=13

    B=9+2R.

    48=9+(2R÷2)         48=9+(2(13)÷2)

    48=9+26+13          48=35+13

    48=48.

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