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27 October, 15:36

Raven has a bag of 33 red and black marbles. The number of red marbles is 6 more than double the number of black marbles.

Letr represent the number of red marbles and b represent the number of black marbles. Which statements about the marbles

are true? Check all that apply.

The equation r+b-33 represents the total number of marbles.

The equation r - 26+6 can be used to find the number of red marbles.

The equation - 26+6 represents the total number of marbles.

The equation r+33 can be used to find the number of red marbles.

There are 9 red marbles in the bag.

There are 9 black marbles in the bag.

There are 24 black marbles in the bag.

There are 24 red marbles in the bag.

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Answers (1)
  1. 27 October, 15:52
    0
    -The equation r+b-33 represents the total number of marbles

    -There 9 black marbles

    -There are 24 red marbles

    Step-by-step explanation:

    The bag contains 33 red and black marbles. Let the number of black marbles be b and that of red marble to r

    Total number of marbles will be

    b+r = 33 i. e b+r-33 = 0 ... (1)

    If the number of red marbles is 6 more than double the number of black marbles, this can be represented as;

    r = 6 + 2b ... (2)

    Substituting 2 in eqn 1 we have;

    b + 6+2b = 33

    3b = 27

    b = 9

    r = 33-9

    r = 24

    This shows that there are 9 black marbles, 24 red marbles and the equation r+b-33 represents the total number of marbles in the bag.
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Home » Mathematics » Raven has a bag of 33 red and black marbles. The number of red marbles is 6 more than double the number of black marbles. Letr represent the number of red marbles and b represent the number of black marbles.
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