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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
- a)90
- b)80
- c)60
- d)50
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
In a rare coin collection, there is one gold coin for every three non ...
Find the Initial ratio = Gold (G):Non-Gold(N) = 1:3 .....(i)
After adding 10 gold coins, the ratio becomes (10+G):N = 1:2 ..... (ii)
On solving (i) & (ii), you get, G=20 and N=60.
Therefore, now the total number of coins in the collection = (10+G)+N= 10+20+60=90
Therefore, now the total number of coins in the collection = (10+G)+N= 10+20+60=90
Most Upvoted Answer
In a rare coin collection, there is one gold coin for every three non ...
Given information:
- One gold coin for every three non-gold coins
- 10 more gold coins are added to the collection
- Ratio of gold coins to non-gold coins would be 1:2
To find: Total number of coins in the collection after adding 10 more gold coins
Solution:
Let's assume the initial number of non-gold coins to be 3x (since the ratio of gold coins to non-gold coins is 1:3)
Therefore, the initial number of gold coins would be x.
After adding 10 more gold coins, the total number of gold coins would be x+10.
And, the total number of non-gold coins would be 3x.
Given that the ratio of gold coins to non-gold coins after adding 10 more gold coins is 1:2.
Therefore, we can write the equation:
(x+10)/(3x) = 1/2
Solving for x, we get x=20.
So, the initial number of gold coins was 20 and the initial number of non-gold coins was 3*20 = 60.
After adding 10 more gold coins, the total number of gold coins is 20+10 = 30.
And, the total number of non-gold coins is 3*20 = 60.
Therefore, the total number of coins in the collection now becomes 30+60 = 90.
Hence, the correct answer is option 'A' (90).
- One gold coin for every three non-gold coins
- 10 more gold coins are added to the collection
- Ratio of gold coins to non-gold coins would be 1:2
To find: Total number of coins in the collection after adding 10 more gold coins
Solution:
Let's assume the initial number of non-gold coins to be 3x (since the ratio of gold coins to non-gold coins is 1:3)
Therefore, the initial number of gold coins would be x.
After adding 10 more gold coins, the total number of gold coins would be x+10.
And, the total number of non-gold coins would be 3x.
Given that the ratio of gold coins to non-gold coins after adding 10 more gold coins is 1:2.
Therefore, we can write the equation:
(x+10)/(3x) = 1/2
Solving for x, we get x=20.
So, the initial number of gold coins was 20 and the initial number of non-gold coins was 3*20 = 60.
After adding 10 more gold coins, the total number of gold coins is 20+10 = 30.
And, the total number of non-gold coins is 3*20 = 60.
Therefore, the total number of coins in the collection now becomes 30+60 = 90.
Hence, the correct answer is option 'A' (90).
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Community Answer
In a rare coin collection, there is one gold coin for every three non ...
Find the Initial ratio = Gold (G):Non-Gold(N) = 1:3 .....(i)
After adding 10 gold coins, the ratio becomes (10+G):N = 1:2 ..... (ii)
On solving (i) & (ii), you get, G=20 and N=60.
Therefore, now the total number of coins in the collection = (10+G)+N= 10+20+60=90
Therefore, now the total number of coins in the collection = (10+G)+N= 10+20+60=90
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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 becomesa)90b)80c)60d)50Correct answer is option 'A'. Can you explain this answer?
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