SOLUTION: A box of gems is found on a treasure hunt. There are 2 diamonds or every 3 rubies. There are 5 sapphires for every diamond. If a total of 30 gems are in the box, how many are sapph

Question 882378: A box of gems is found on a treasure hunt. There are 2 diamonds or every 3 rubies. There are 5 sapphires for every diamond. If a total of 30 gems are in the box, how many are sapphires?

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
(1)
(2)
(3)
---------------------
(1)
Divide both sides of (3) by
(3)
and, from (1) and (2):
(3)
(3)
(3)
and
(2)
(2)
(2)
(2)
The are 20 sapphires
---------------------
check:
(1)
(1)
(1)
and
(3)
(3)
(3)
OK

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