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Re: A certain store sells only records and CDs. All CDs cost $7.82, includ [#permalink]
pushpitkc wrote:
1
7.82x + 4.18y < 25(y - total number of records bought , x - total number of CDs bought) If x=0 & y >= 6, the total cost cannot be less than 25.
When the number of CDs is greater than 0, this statement is obviously going to fail.
Hence, this condition is sufficient.

2 He bought atleast one CD. However we don't know the total amount he spent at the store. So he could have bought any 2 number of CDs or even 6 number of CDs.

This condition alone is not sufficient. (Option A) is the solution


hello
Can you please explain how & y >= 6?
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Re: A certain store sells only records and CDs. All CDs cost $7.82, includ [#permalink]
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eantolovic wrote:
Hello Brent,

I appreciate your logic in answering this question; however, I am struggling on a fundamental necessity in order to make this true. Statement (1) declares "Yesterday, John spent less than $25 at the store." It doesn't say what he spent that money on, whether it was CD's, records, or candy at the register. Therefore, we cannot determine whether he bought 6 records, 5 records and some candy, or none at all. On behalf of this logic I can only surmise that Statement (1) is insufficient evidence in order to answer "Yesterday, did John buy more than 5 records at this store?"

Statement (2) would also be insufficient since we are still unaware whether John bought more than 5 records.

Since Statements (1) & (2) are insufficient, we can now determine if they can be combined. If (1) states John spent less than $25, and (2) states John bought at least 1 CD, then we now know for sure that John wouldn't have enough remaining funds to buy those 5 rad vinyls on display. Therefore, and according to this line of reasoning, the answer would be .


Be careful. The part in blue above is not correct.
While we may not know exactly what was purchased, we can be certain that John did NOT buy 6 records (because that would cost more than $25)
We can also be certain that John did NOT buy 7 records (because that would cost more than $25)
We can also be certain that John did NOT buy 8 records (because that would cost more than $25)
We can also be certain that John did NOT buy 9 records (because that would cost more than $25)
We can also be certain that John did NOT buy 10 records (because that would cost more than $25)
.....etc

So, even though we have no idea what John purchased, we can be 100% that John did NOT buy 6, 7, 8, 9, 10, (etc) records.
In other words, we can definitively answer the target question with a resounding "NO"

Does that help?



Cheers,
Brent
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Re: A certain store sells only records and CDs. All CDs cost $7.82, includ [#permalink]
GMATPrepNow wrote:
eantolovic wrote:
Hello Brent,

I appreciate your logic in answering this question; however, I am struggling on a fundamental necessity in order to make this true. Statement (1) declares "Yesterday, John spent less than $25 at the store." It doesn't say what he spent that money on, whether it was CD's, records, or candy at the register. Therefore, we cannot determine whether he bought 6 records, 5 records and some candy, or none at all. On behalf of this logic I can only surmise that Statement (1) is insufficient evidence in order to answer "Yesterday, did John buy more than 5 records at this store?"

Statement (2) would also be insufficient since we are still unaware whether John bought more than 5 records.

Since Statements (1) & (2) are insufficient, we can now determine if they can be combined. If (1) states John spent less than $25, and (2) states John bought at least 1 CD, then we now know for sure that John wouldn't have enough remaining funds to buy those 5 rad vinyls on display. Therefore, and according to this line of reasoning, the answer would be .


Be careful. The part in blue above is not correct.
While we may not know exactly what was purchased, we can be certain that John did NOT buy 6 records (because that would cost more than $25)
We can also be certain that John did NOT buy 7 records (because that would cost more than $25)
We can also be certain that John did NOT buy 8 records (because that would cost more than $25)
We can also be certain that John did NOT buy 9 records (because that would cost more than $25)
We can also be certain that John did NOT buy 10 records (because that would cost more than $25)
.....etc

So, even though we have no idea what John purchased, we can be 100% that John did NOT buy 6, 7, 8, 9, 10, (etc) records.
In other words, we can definitively answer the target question with a resounding "NO"

Does that help?



Cheers,
Brent


Yes, it does. I do realize that studying all day can lead to hopeless errors, but my mind must have been so tangled yesterday to overlook something so simple as that :dazed Thank you for the reply and I apologize for the unnecessary challenge. I'll delete my comment in order not to confuse any others. Have a great day!
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Re: A certain store sells only records and CDs. All CDs cost $7.82, includ [#permalink]
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Re: A certain store sells only records and CDs. All CDs cost $7.82, includ [#permalink]
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