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there are at most 36 marbles in a bag. the number of red marbles is twice the number of blue marbles. write and solve an inequality that represents the greatest number of red marbles in the bag

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x - blue marbles (x>0)
2x - red marbles

There are at most 36 marbles.
[tex]x+2x \leq 36 \\ 3x \leq 36 \\ x \leq 12 \\ 2x \leq 24[/tex]

The greatest number of red marbles in the bag is 24.

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