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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Answer:

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