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# Each of the offices in a certain building has a floor area

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Re: Each of the offices in a certain building has a floor area [#permalink]
Is this question as simple as it seems to be or am I missing something?
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fozzzy wrote:
Is this question as simple as it seems to be or am I missing something?

It's pretty simple, yes.

Each of the offices in a certain building has a floor area of 200, 300, or 350 square feet. How many offices are on the first floor of the building?

(1) There is a total of 9,500 square feet of office space on the first floor of the building. There are many ways to break 9,500 into the sum of 200's, 300's and 350's. Not sufficient.

(2) Ten of the offices on the first floor have floor areas of 350 square feet each. This just tells that there are more than (or equal to) 10 offices on the first floor. Not sufficient.

(1)+(2) 9,500 - 350*10 = 6,000 square feet on the first floor is occupied by 200 or 300 square feet offices. The same here: there are many ways to break 6,000 into the sum of 200's and 300's. Not sufficient.

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Re: Each of the offices in a certain building has a floor area [#permalink]
wshaffer wrote:
Each of the offices in a certain building has a floor area of 200, 300, or 350 square feet. How many offices are on the first floor of the building?"

(1) There is a total of 9,500 square feet of office space on the first floor of the building

(2) Ten of the offices on the first floor have floor areas of 350 square feet each.

Let's take Statement 2 for instance, when they say stuff like 'Ten of the offices on the first floor have 350 sq feet'
We can assume that they are only describing those 10 and that by no means they are saying that the ONLY ones that have 350 are those ten right?

Cheers
J
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Re: Each of the offices in a certain building has a floor area [#permalink]
jlgdr wrote:
wshaffer wrote:
Each of the offices in a certain building has a floor area of 200, 300, or 350 square feet. How many offices are on the first floor of the building?"

(1) There is a total of 9,500 square feet of office space on the first floor of the building

(2) Ten of the offices on the first floor have floor areas of 350 square feet each.

Let's take Statement 2 for instance, when they say stuff like 'Ten of the offices on the first floor have 350 sq feet'
We can assume that they are only describing those 10 and that by no means they are saying that the ONLY ones that have 350 are those ten right?

Cheers
J

Yes, the second statement means that there are exactly ten offices with floor areas of 350 square feet.
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Re: Each of the offices in a certain building has a floor area [#permalink]
Bunuel EducationAisle I notice that 9500 doesn't completely divide by 200, 300, and 350. So we know that there will be AT LEAST a combination of 2 or 3 of the above sq. feet. to cover the total area of 9500. But how can one come up with 2 - 3 instances (without spending too much time) to see that (1) is insuff.

What I thought was that 300 * 30 gives 9000. If I take one more 300 sq feet I'll get 9300. So 31(300 sq. feet) covers a total of 9300. We are left with 200 sq. feet. So 1(200 sq. feet) can be used to cover the remaining. Hence 1(200) + 31(300) = 9500. So here we have one instance.

Now if I look at 200 sq. feet. 4 * 2 = 8. So if I take 40 (200 sq. feet) I'll get 8000 sq. feet. The remaining 1500 sq. feet can be covered by 5 (300 sq. feet). So 40 (200 sq. feet) + 5 (300 sq. feet.) = 9500 sq. feet. Here we get another instance. Hence (1) is insuff.

BUT, this can take over 30-40 sec. Could you provide a more structured method of approaching this question. As you can see, I just took some random (smart) numbers and saw what is and isn't divisible by 9500.
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Re: Each of the offices in a certain building has a floor area [#permalink]
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Re: Each of the offices in a certain building has a floor area [#permalink]
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