SOLUTION: In a rare coin collection, there is one gold coin for every three non-gold coins. 10 more gold coins are added to the collection and the ratio of gold coins to non-gold coins would

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Question 755642: In a rare coin collection, there is one gold coin for every three non-gold coins. 10 more gold coins are added to the collection and the ratio of gold coins to non-gold coins would be 1: 2. Based on the information; the total number of corns in the collection now becomes
(a) 90
(b) 80
(c) 60
(d) 50

Answer by stanbon(75887) About Me  (Show Source):
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In a rare coin collection, there is one gold coin for every three non-gold coins. 10 more gold coins are added to the collection and the ratio of gold coins to non-gold coins would be 1: 2. Based on the information; the total number of corns in the collection now becomes
----
Start: x gold coins ; 3x non-gold coins
Add 10: x+10 gold ; 3x non-gold
Equation:
2*# of gold = # of non-gold
2(x+10) = 3x
2x + 20 = 3x
x = 20
----
Total # of gold is x+10 = 20+10 = 30
Total # of non-gold is 3x = 60
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Ans: Total # of coins is 90
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Cheers,
Stan H.
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(a) 90
(b) 80
(c) 60
(d) 50