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Elmo makes N sandwiches for a fundraiser. For each sandwich he uses B

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Elmo makes N sandwiches for a fundraiser. For each sandwich he uses B  [#permalink]

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New post 26 Mar 2019, 05:44
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  85% (hard)

Question Stats:

23% (03:16) correct 77% (03:14) wrong based on 13 sessions

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Elmo makes N sandwiches for a fundraiser. For each sandwich he uses B globs of peanut butter at 4 cents per glob and J blobs of jam at 5 cents per glob. The cost of the peanut butter and jam to make all the sandwiches is 2.53. Assume that B, J and N are all positive integers with N > 1. What is the cost of the jam Elmo uses to make the sandwiches?

(A) 1.05
(B) 1.25
(C) 1.45
(D) 1.65
(E) 1.85

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Re: Elmo makes N sandwiches for a fundraiser. For each sandwich he uses B  [#permalink]

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New post 26 Mar 2019, 12:37
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Bunuel wrote:
Elmo makes N sandwiches for a fundraiser. For each sandwich he uses B globs of peanut butter at 4 cents per glob and J blobs of jam at 5 cents per glob. The cost of the peanut butter and jam to make all the sandwiches is 2.53. Assume that B, J and N are all positive integers with N > 1. What is the cost of the jam Elmo uses to make the sandwiches?

(A) 1.05
(B) 1.25
(C) 1.45
(D) 1.65
(E) 1.85


total sandwiches made
N*(4B+5J)=243
n=11
so
4b+5j=23
b=2 ; j =3
so
total Jam sandwiches ; 5*11*3 ; 165 cents or say 1.65 $
IMO D
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Re: Elmo makes N sandwiches for a fundraiser. For each sandwich he uses B  [#permalink]

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New post 26 Mar 2019, 20:20
Bunuel wrote:
Elmo makes N sandwiches for a fundraiser. For each sandwich he uses B globs of peanut butter at 4 cents per glob and J blobs of jam at 5 cents per glob. The cost of the peanut butter and jam to make all the sandwiches is 2.53. Assume that B, J and N are all positive integers with N > 1. What is the cost of the jam Elmo uses to make the sandwiches?

(A) 1.05
(B) 1.25
(C) 1.45
(D) 1.65
(E) 1.85


Equation which is formed is (4b+5j)^*n=253
where b & j are in cents.
Let b*n=B and j*n=J,
Then 4B+5J=253
Now, 5 would always have unit digit of 5. So, to have 3 in the unit digit in the RHS. B should have unit digit of two. Because 4*2+5=13.
So, by hit and trial, put a=2,12, 22, 32 until you get the value in the options.
For, B=22, J=253-4*22=165 cents
Hence, answer is 1.65 dollars.
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Re: Elmo makes N sandwiches for a fundraiser. For each sandwich he uses B   [#permalink] 26 Mar 2019, 20:20
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Elmo makes N sandwiches for a fundraiser. For each sandwich he uses B

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