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How many coins of 0.5 dollars each and 0.7 dollars each together make

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GMAT 1: 730 Q49 V40
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How many coins of 0.5 dollars each and 0.7 dollars each together make  [#permalink]

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New post Updated on: 23 May 2016, 08:13
2
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A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

89% (01:10) correct 11% (00:57) wrong based on 55 sessions

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How many coins of 0.5 dollars each and 0.7 dollars each together make exactly 4.6 dollars?

(A)  1,6
(B)  2,7
(C)  3,5
(D)  4,3
(E)  5,3

Originally posted by DensetsuNo on 23 May 2016, 08:10.
Last edited by DensetsuNo on 23 May 2016, 08:13, edited 2 times in total.
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How many coins of 0.5 dollars each and 0.7 dollars each together make  [#permalink]

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New post Updated on: 31 Jan 2017, 17:10
2
As for the solution:

Well although this kind of problem is advertised as difficult it is straightforward to solve.

We have two numbers and the result of the sum of their multiples.
So how can we obtain \(46\)? We need to focus on the unit's digit \(6\), of course the only one between \(5\) and \(7\) that can give us \(6\) is \(7\),
\(7*8=56\), but it is too big, so we need something ending in \(1\), so that \(1+5 -> 6\), and so we find \(7*3 = 21\)
Than we add \(5\) and obtain \(26\), to get to \(46\) (or \(4,6\)) we still need \(4\) times \(5\) or \(20\), therefore, \(7*3 + 5*(1+4) = 46\)
\((5,3)\)
Answer E)

Originally posted by DensetsuNo on 23 May 2016, 08:12.
Last edited by DensetsuNo on 31 Jan 2017, 17:10, edited 1 time in total.
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Re: How many coins of 0.5 dollars each and 0.7 dollars each together make  [#permalink]

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New post 23 May 2016, 11:24
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DensetsuNo wrote:
How many coins of 0.5 dollars each and 0.7 dollars each together make exactly 4.6 dollars?

(A)  1,6
(B)  2,7
(C)  3,5
(D)  4,3
(E)  5,3


Straightaway use answer options ( Ignoring the decimal point ) -

(A)  1,6

1*5 + 6*7 => 47 ( Incorrect )

(B)  2,7

2*5 + 7*7 => 59 ( Incorrect )

(C)  3,5

3*5 + 5*7 => 50 ( Incorrect )

(D)  4,3

4*5 + 3*7 => 41 ( Incorrect )

(E)  5,3

5*5 + 3*7 => 46 ( Correct )


Hence answer will be (E) :-D :lol:
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Re: How many coins of 0.5 dollars each and 0.7 dollars each together make  [#permalink]

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New post 28 Nov 2016, 20:19
SajjadAhmad wrote:
How many coins of 0.5 dollars each and 0.7 dollars each together make exactly 4.6 dollars?
(A) 1, 6
(B) 2, 7
(C) 3, 5
(D) 4, 3
(E) 5, 3


x is the number of coins of 0.5 dollars
y is the number of coins of 0.7 dollars

then 0.5x+0.7y=4.6 or 5x+7y=46 and x,y are positive integers.

Now we could solve this question using Numerical methods
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Re: How many coins of 0.5 dollars each and 0.7 dollars each together make  [#permalink]

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