SOLUTION: In a certain jewel shop there are three types of jewels like diamonds ,rubis and emaralands.The ratio of diamonds to rubis is 5:6.The ratio of rubis to emaralands is 8:3.What is t

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: In a certain jewel shop there are three types of jewels like diamonds ,rubis and emaralands.The ratio of diamonds to rubis is 5:6.The ratio of rubis to emaralands is 8:3.What is t      Log On


   

Question 356748: In a certain jewel shop there are three types of jewels like diamonds ,rubis and emaralands.The ratio of diamonds to rubis is 5:6.The ratio of rubis to emaralands is 8:3.What is the least number of jewels possible.
Answer by CharlesG2(834) About Me  (Show Source):
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In a certain jewel shop there are three types of jewels like diamonds ,rubis and emaralands.The ratio of diamonds to rubis is 5:6.The ratio of rubis to emaralands is 8:3.What is the least number of jewels possible.

its diamonds, rubies, and emeralds proper spelling

diamonds to rubies 5:6
rubies to emeralds 8:3
least number of jewels possible?

1 emerald --> 8/3 rubies
2 emeralds --> 16/3 rubies
3 emeralds --> 24/3 = 8 rubies
9 emeralds --> 24 rubies
18 emeralds --> 48 rubies
1 ruby --> 5/6 diamonds
2 rubies --> 10/6 = 5/3 diamonds
3 rubies --> 15/6 = 5/2 diamonds
4 rubies --> 20/6 = 10/3 diamonds
5 rubies --> 25/6 diamonds
6 rubies --> 30/6 = 5 diamonds
8 rubies --> 20/3 diamonds
24 rubies --> 20 diamonds
48 rubies --> 40 diamonds

minimum jewels is 9 emeralds, 24 rubies, 20 diamonds
for total of 53 jewels