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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 coins in the collection now becomes.

Correct Answer:

A) 90 |

B) 80 |

C) 60 |

D) 50 |

Correct Answer:

A) 90 |

Description for Correct answer:

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.

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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