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In a rare coin collection, there is one gold coin for every four non-gold coins. 5 more gold coins are added to the collection and the ratio of gold coins to non-gold coins would be 1: 3. Based on the information, the total number of coins in the collection now becomes
  • a)
    90
  • b)
    100
  • c)
    60
  • d)
    50
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In a rare coin collection, there is one gold coin for every four non-g...
At Start: x gold coins; 4x non-gold coins
Add 5: x+ 5 gold; 4x non-gold
Then, according to the given ratio
3 × number of gold coins = number of non-gold coins
3(x+5) = 4x
3x + 15 = 4x
x = 15
Total number of gold is x+ 5 = 15 + 5 = 20
Total number of non-gold is 4x = 80
Total number of coins is 100
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In a rare coin collection, there is one gold coin for every four non-gold coins. 5 more gold coins are added to the collection and the ratio of gold coins to non-gold coins would be 1: 3. Based on the information, the total number of coins in the collection now becomesa)90b)100c)60d)50Correct answer is option 'B'. Can you explain this answer?
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