SOLUTION: There are 45 plastic ducks in a bag, If they are black, green, blue and purple plastic ducks and 1/3 of The plastic ducks are black, 1/5 are blue plastic ducks, one third of the nu

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: There are 45 plastic ducks in a bag, If they are black, green, blue and purple plastic ducks and 1/3 of The plastic ducks are black, 1/5 are blue plastic ducks, one third of the nu      Log On

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Question 1143075: There are 45 plastic ducks in a bag, If they are black, green, blue and purple plastic ducks and 1/3 of The plastic ducks are black, 1/5 are blue plastic ducks, one third of the number of black plastic ducks are green then how many purple ducks are there?
A). 6
B)15
C)16
D)21

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
1/3 of The plastic ducks are black
+%281%2F3%29%2A45+=+15+ black
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1/5 are blue
+%281%2F5%29%2A45+=+9+ blue
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and
+%281%2F3%29%2A15+=+5+ green
-------------------------
+15+%2B+9+%2B+5+=+29+
+45+-+29+=+16+ purple
Answer is (C) 16