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31 May, 16:20

A bag contains purple marbles and blue marbles, 38 in total. The number of purple marbles is 5 more than 2 times the number of blue marbles. How many purple marbles are there?

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  1. 31 May, 17:41
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    27 purple marbles

    Step-by-step explanation:

    purple marbles - p blue marbles - b

    Equations based on the given:

    p = 2b + 5 and p+b = 38

    2b+5+b = 38 ⇒ 3b+5 = 38 ⇒ 3b = 33 ⇒ b = 11 p = 38-11 = 27
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