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A bag contains purple marbles and green marbles, 27 in total. The number of purple marbles is 3 less than 4 times the number of green marbles. How many purple marbles are there?

1 Answer

2 votes

Answer:

  • 21 purple marbles

Explanation:

  • Purple marbles = p
  • Green marbles = g

Equations as per given:

  • p + g = 27
  • p = 4g - 3

Substitute p in the first equation:

  • 4g - 3 + g = 27
  • 5g = 30
  • g = 6

Then find p:

  • p = 27 - 6 = 21
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