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A bag of marbles has twice as many blue marbles as green marbles, and the bag has at least 54 marbles in it. At least how many green marbles does it have?

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Ananda26id
If we have twice as many blue marbles as green, we have 3 parts; 2 parts blue and 1 part greens. Therefore, 1/3 of the marbles are green

54/3=18
At least 18 of the marbles are green
Kate200468id
[tex]b\ \ \ \rightarrow\ \ \ the\ number\ of\ blue\ marbles\\g\ \ \ \rightarrow\ \ \ the\ number\ of\ green\ marbles\\\\b+g \geq 54\ \ \ and\ \ \ b=2g\\\\2g+g \geq 54\ \ \ \Leftrightarrow\ \ \ 3g \geq 54\ \ \ \Leftrightarrow\ \ \ g \geq 18\\\\Ans.\ At\ least\ 18\ green\ marbles.[/tex]

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