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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Question

Mathematics

Arielle Mcbride

15 July, 11:27

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.

Mark this and return

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Answers (1)

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Lauryn · Answer 1

-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.