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Patricia has several coins, each of which is worth either 5 cents or

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Patricia has several coins, each of which is worth either 5 cents or  [#permalink]

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New post 30 Nov 2018, 15:26
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Difficulty:

  35% (medium)

Question Stats:

73% (01:49) correct 28% (01:24) wrong based on 40 sessions

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Patricia has several coins, each of which is worth either 5 cents or 25 cents. How many coins does she have?

(1) The total value of Patricia's coins is 205 cents.

(2) Patricia has more than 2 coins worth 25 cents, and fewer than 7 coins worth 5 cents.
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Re: Patricia has several coins, each of which is worth either 5 cents or  [#permalink]

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New post 30 Nov 2018, 18:39
dcummins wrote:
Patricia has several coins, each of which is worth either 5 cents or 25 cents. How many coins does she have?

(1) The total value of Patricia's coins is 205 cents.

(2) Patricia has more than 2 coins worth 25 cents, and fewer than 7 coins worth 5 cents.


Let 5 cents coins be X and 25 cents coins be y..
(I) total value is 205 cents.
So 5x + 25y = 205
x + 5y=41..
Various combinations of X,y possible ....1,8 or 6,7 or 11,6 and so on.
Insufficient

(II) X>2 and y<7
Can be infinite combinations.
Insufficient

Combined..
Various combinations still exist
11,6 or 16,5 or 21,4 or 26,3 or 31,2 or 36,1 or 41,0
Thus insufficient

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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: Patricia has several coins, each of which is worth either 5 cents or  [#permalink]

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New post 01 Dec 2018, 00:09
dcummins wrote:
Patricia has several coins, each of which is worth either 5 cents or 25 cents. How many coins does she have?

(1) The total value of Patricia's coins is 205 cents.

(2) Patricia has more than 2 coins worth 25 cents, and fewer than 7 coins worth 5 cents.



let 5 cents be x and 25 cents be y

From 1 : it says that 5x+25y= 205
so x can be 1 and y 8 or x 21 and y 4 in suffcient

From 2: y>2 and x<7
so for many values of y @6 and x@6 and x 1 and y @ 8
insufficient..

IMO clear E ..
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Re: Patricia has several coins, each of which is worth either 5 cents or &nbs [#permalink] 01 Dec 2018, 00:09
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