# SOLUTION: The ratio of rubies to emeralds was 3 to 1, and the ratio of emeralds todiamonds was 2 to 1. If there were 18 rubies, emeralds, and diamonds in all, how many of each were there?

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 Question 67236This question is from textbook Advanced mathematics : The ratio of rubies to emeralds was 3 to 1, and the ratio of emeralds todiamonds was 2 to 1. If there were 18 rubies, emeralds, and diamonds in all, how many of each were there?This question is from textbook Advanced mathematics Answer by Nate(3500)   (Show Source): You can put this solution on YOUR website!Rubies to Emeralds 3:1 or 3x to x Emeralds to Diamonds 2:1 or 1:0.5 or x to 0.5x 3x + x + 0.5x = 18 4.5x = 18 x = 4 12 Rubies 4 Emeralds 2 Diamonds