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# Joanna bought only $0.15 stamps and$0.29 stamps. How many

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Re: Joanna bought only $0.15 stamps and$0.29 stamps. How many [#permalink]  08 Feb 2013, 11:21
udaymathapati wrote:
Joanna bought only $0.15 stamps and$0.29 stamps. How many $0.15 stamps did she buy? (1) She bought$4.40 worth of stamps.
(2) She bought an equal number of $0.15 stamps and$0.29 stamps.

Key is to realise that 0.15+0.29 = 0.44 and thus from statement one u can buy 10 combinations of the 0.44 stamps
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Re: Joanna bought only $0.15 stamps and$0.29 stamps. How many [#permalink]  09 Feb 2013, 19:33
for statement 1, we get 15x + 29y = 440
as we need the value of x,so 15x = 440 -29y
x = (440 - 29y)/15
It's clear from the equation that the value of y should be 5 or 10 to be divided by 15 since x is an integer. if y = 5,you cannot divide it with 15. Now try y =10, so x = 10. Statement 1 is sufficient.

Also you can see from the 2nd statement that x=y .Statement 2 itself is not sufficient as you don't know the total price.
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Re: Joanna bought only $0.15 stamps and$0.29 stamps. How many [#permalink]  22 Mar 2013, 06:37
I'd also like to add the following -

(1) She bought $4.40 worth of stamps. - We notice that the ending digit is 0, and one type of stamps costs 0.29. The only way we can have a "0" at the end with$0.29 is to multiply 0.29 with 10,20,30, etc. So if we have 10x0.29, its OK, meaning we have 2.9 worth of 0.29 stamps, and the rest worth $0.15. If we are to have 20, then we would surpass the total value of 4.40$ ( 20*0.29 = 5.8 ). So clearly she bought 10 stamps worth $0.29, and subsequently we can calculate the rest. That's why A is sufficient. (2) She bought an equal number of$0.15 stamps and $0.29 stamps. - Clearly insufficient. Verbal Forum Moderator Joined: 10 Oct 2012 Posts: 619 Followers: 26 Kudos [?]: 408 [0], given: 129 Re: Joanna bought only$0.15 stamps and $0.29 stamps. How many [#permalink] 22 Mar 2013, 23:47 Expert's post udaymathapati wrote: Joanna bought only$0.15 stamps and $0.29 stamps. How many$0.15 stamps did she buy?