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What is the ratio of nickels to dimes in a bag of change that contains

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What is the ratio of nickels to dimes in a bag of change that contains  [#permalink]

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New post 08 Jan 2018, 22:34
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Difficulty:

  55% (hard)

Question Stats:

44% (01:24) correct 56% (01:19) wrong based on 21 sessions

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What is the ratio of nickels to dimes in a bag of change that contains only nickels and dimes? (nickel = $0.05; dime = $0.1)

(1) The total amount of money in the bag is $8.70.
(2) If the number of nickels was increased by 10%, the number of nickels in the bag would be 50% of the total number of dimes in the bag.

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Re: What is the ratio of nickels to dimes in a bag of change that contains  [#permalink]

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New post 09 Jan 2018, 03:28
Bunuel wrote:
What is the ratio of nickels to dimes in a bag of change that contains only nickels and dimes? (nickel = $0.05; dime = $0.1)

(1) The total amount of money in the bag is $8.70.
(2) If the number of nickels was increased by 10%, the number of nickels in the bag would be 50% of the total number of dimes in the bag.


We'll use easy numbers to eliminate contradictory answers.
This is a logical approach.

(1) Say there was only 1 dime. Then there would be $8.6 worth of nickels. Say there were 2 dimes. Then there would be $8.5 of nickels.
As these are different, (1) is insufficient.

(2) Say we had 10 nickels. Then this was increased to 11 and we would have 22 dimes in the bag.
This is enough to calculate the ratio!
If we try different numbers of nickles, we can SEE that we will always have 2*(n+1) dimes in the bag
Sufficient!

(B) is our answer.
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Re: What is the ratio of nickels to dimes in a bag of change that contains &nbs [#permalink] 09 Jan 2018, 03:28
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