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?

Algebra ->  Formulas -> 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?      Log On


   



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) About Me  (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