• 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 coins in the collection now becomes.
 A) 90 B) 80 C) 60 D) 50

 A) 90

Let the number of gold coins initially be x

and the number of non-gold coins be y.

According to the question,

3x = y

When 10 more gold coins, total number gold coins become x + 10

and the number non-gold coins remain the same at y.

Now, we have $$\Large 2 \left(10+x\right)=y$$

Solving these two equations, we get

x = 20 and y = 60.

Total number of coins in the collection at the end is equal to

x+10+y = 20+10+60 = 90.

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