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A bag contains purple marbles and blue marbles, 29 in total. The number of purple marbles is 1 less than 2 times the number of blue marbles. How many purple marbles are there?

 Apr 3, 2020
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Lets say the number of blue marbles in the bag is X. That would make the number of purple marbles 2X-1. Combined, that makes 3X-1.

Now 3X-1=29. If we add 1 to each side we get 3X=30. Divide both sides to get X=10. Now we said that the number of purple marbles is 2X-1. Substitue in 10 to get that there are 

 

19 purple marbles in the bag. 

 

smileysmileysmiley

 Apr 3, 2020

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