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Sue has only pennies, dimes, and nickels in a jar. The jar has at least 1 but no more than 4 pennies. If the jar has at least 1 nickel and 1 dime, which of the following could NOT be the total amount of money in the jar? (penny = 1 cent, nickel = 5 cents, dime = 10 cents)

A. 51 cents B. 53 cents C. 55 cents D. 57 cents E. 59 cents

Sue has only pennies, dimes, and nickels in a jar. The jar has at least 1 but no more than 4 pennies. If the jar has at least 1 nickel and 1 dime, which of the following could NOT be the total amount of money in the jar?

A. 51 cents B. 53 cents C. 55 cents D. 57 cents E. 59 cents

First of all, we need to understand the conversion between pennies, dimes and nickels. This might be obvious for the US citizens, but here is the conversion for the others.

Re: Sue has only pennies, dimes, and nickels in a jar. The jar has at leas [#permalink]

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24 Feb 2016, 23:55

2

This post received KUDOS

Let there be a pennies , b nickels and c dimes so total amount can be 1+5b+10c cents to 4+5b+10c as you can see the equation of total whenever divided by 5 would leave a remainder from 1 to 4 ( as pennies can only be from 1 to 4 and hence a is limited to values from 1 to 4) So the total can never be divisible by 5 and hence only 55 that is c is the option which is divisible by 5.

Re: Sue has only pennies, dimes, and nickels in a jar. The jar has at leas [#permalink]

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21 Aug 2017, 17:51

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Re: Sue has only pennies, dimes, and nickels in a jar. The jar has at leas [#permalink]

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22 Aug 2017, 23:05

Bunuel wrote:

Sue has only pennies, dimes, and nickels in a jar. The jar has at least 1 but no more than 4 pennies. If the jar has at least 1 nickel and 1 dime, which of the following could NOT be the total amount of money in the jar?

A. 51 cents B. 53 cents C. 55 cents D. 57 cents E. 59 cents

For a Non US citizen like me i dunno how to approach this question . No idea whats a Nickle ,dime or a penny. Do we need to remember this conversion?

Sue has only pennies, dimes, and nickels in a jar. The jar has at least 1 but no more than 4 pennies. If the jar has at least 1 nickel and 1 dime, which of the following could NOT be the total amount of money in the jar?

A. 51 cents B. 53 cents C. 55 cents D. 57 cents E. 59 cents

For a Non US citizen like me i dunno how to approach this question . No idea whats a Nickle ,dime or a penny. Do we need to remember this conversion?

Re: Sue has only pennies, dimes, and nickels in a jar. The jar has at leas [#permalink]

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23 Aug 2017, 07:07

My approach:

Total money value = (1 x P) + (5 x N) + (10 x D) = P + 5(N+2D) so Total - P = 5(N+2D) where P, N, D are numbers of penny, nickel, and dimes respectively.

Form the question, P =1,2,3, or 4

So Total - P must be divisible by 5 Check if the answer can minus any of the values of P mentioned above to have a multiple of 5:

A. 51 -1 = 50. B. 53 - 3 = 50. C. 55 can't make any multiple of 3 with P. Stop here, this is the answer.

Re: Sue has only pennies, dimes, and nickels in a jar. The jar has at leas [#permalink]

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23 Aug 2017, 07:41

NamVu1990 wrote:

My approach:

Total money value = (1 x P) + (5 x N) + (10 x D) = P + 5(N+2D) so Total - P = 5(N+2D) where P, N, D are numbers of penny, nickel, and dimes respectively.

Form the question, P =1,2,3, or 4

So Total - P must be divisible by 5 Check if the answer can minus any of the values of P mentioned above to have a multiple of 5:

A. 51 -1 = 50. B. 53 - 3 = 50. C. 55 can't make any multiple of 3 with P. Stop here, this is the answer.

Thanks! This is a great way to solve this problem.