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Claire paid a total of $1 .60 for stamps, some of which cost $0.20 eac

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Claire paid a total of $1 .60 for stamps, some of which cost $0.20 eac  [#permalink]

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New post 21 Nov 2018, 08:12
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Project DS Butler: Day 16: Data Sufficiency (DS32)


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Claire paid a total of $1 .60 for stamps, some of which cost $0.20 each, and the rest of which cost $0.15 each. How many 20-cent stamps did Claire buy?


(1) Claire bought exactly 9 stamps.

(2) The number of 20-cent stamps Claire bought was 1 more than the number of 15-cent stamps she bought.

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Re: Claire paid a total of $1 .60 for stamps, some of which cost $0.20 eac  [#permalink]

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New post 21 Nov 2018, 10:36
Answer D.

A) As there aren't that many options, we can just check them:
There have to be an even number of 0.15 stamps - otherwise we won't get a round number. So:
8*0.15+1*0.2=1.4 - not enough
6*.15+3*0.2=1.5 0 not enough
4*0.15+5*.2=1.6 - yes!
2*0.15 + 7*.2=1.7 - too much
0*0,15+9*.2=1.8 - too much
Sufficient!

B) As we've already seen from (1), this world for 4 0.15 stamps and 5 0.2 stamps. can it work for any others? No - if go less (3 and 4, say) we'll get less than 1.6, if we go more we'll get more. Sufficient!
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Claire paid a total of $1 .60 for stamps, some of which cost $0.20 eac  [#permalink]

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New post 02 Jan 2019, 05:41
adkikani wrote:

Project DS Butler: Day 16: Data Sufficiency (DS32)



Claire paid a total of $1 .60 for stamps, some of which cost $0.20 each, and the rest of which cost $0.15 each. How many 20-cent stamps did Claire buy?


(1) Claire bought exactly 9 stamps.

(2) The number of 20-cent stamps Claire bought was 1 more than the number of 15-cent stamps she bought.


Let x be number of 20-cent stamps and y be number of 15-cent stamps.

So the question gives us

0.2 x + 0.15 y = 1.60

statement 1: x + y = 9 --> x = 9 - y --> plug in in first equation and solve for x and y --> sufficient
statement 2: x -1 = y --> x = y +1 --> plug in in first equation and solve for x and y --> sufficient


If needed, I got x = 4 and y = 5
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Claire paid a total of $1 .60 for stamps, some of which cost $0.20 eac   [#permalink] 02 Jan 2019, 05:41
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Claire paid a total of $1 .60 for stamps, some of which cost $0.20 eac

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