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For a basic monthly fee of F yen, Noak's first cell phone allowed him [#permalink]

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10 Jul 2016, 02:53

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A

B

C

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E

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25% (medium)

Question Stats:

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26% (01:02) wrong based on 544 sessions

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For a basic monthly fee of F yen, Noako's first cell phone allowed him to use a maximum of 420 minutes on calls during the month. Then, for each of x additional minutes he used on calls, he was charged M yen, making his total charge for the month T yes, where T = F + xM. What is the value of M?

(1) Naoko used 450 minutes on calls the first month and the total charge for the month was 13, 755 yen

(2) Naoko used 400 minutes on calls the second month and the total charge for the month was 13, 125 yen

Edit: This version of the question is different from DS #278 in OG2017

Re: For a basic monthly fee of F yen, Noak's first cell phone allowed him [#permalink]

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10 Jul 2016, 07:22

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This post received KUDOS

HarveyKlaus wrote:

For a basic monthly fee of F yen, Noak's first cell phone allowed him to use a maximum of 420 minutes on calls during the month. Then, for each of x additional minutes he used on calls, he was charged M yen, making his total charge for the month T, where T=F+xM. What is the value of M?

A) Naoko used 450 minutes on calls the first month and the total charge for the month was 13, 755 yen B) Naoko used 400 minutes on calls the second month and the total charge for the month was 13, 125 yen

Any ideas how to solve this problem ?

Thanks

We are given , for a basic F yen , Noak can talk till 420 minutes and he'll be charged beyond 420 minutes. For every X additional minutes there will be M yen charged.

From

Stat 1) 13755 = F + 30M --> Insufficient. As we don't know F value. ( X = 30 ( 450 - 420 ) here because he crossed beyond 420 )

Stat 2) 13125 = F + 0 (M). Here only 400 minutes and he don't have any extra minutes to be charged, hence 0 mins.

Then F = 13125. --> Insufficient... don't have M value.

Stat 1 + Stat 2 : 13755 = 13125 + 30 M. => 630 = 30 M M = 23.

For a basic monthly fee of F yen, Noak's first cell phone allowed him to use a maximum of 420 minutes on calls during the month. Then, for each of x additional minutes he used on calls, he was charged M yen, making his total charge for the month T, where T=F+xM. What is the value of M?

A) Naoko used 450 minutes on calls the first month and the total charge for the month was 13, 755 yen B) Naoko used 400 minutes on calls the second month and the total charge for the month was 13, 125 yen

We are given T = F + xM, in which T = the total charge for the month, F = the monthly fee, x = the excess minutes over 420, and M = the amount charged for each of the x additional minutes.

Statement One Alone:

Naoko used 450 minutes on calls the first month, and the total charge for the month was 13,755 yen.

Using the information in statement one, we can determine that Naoko used 30 excess minutes beyond the 420 minutes allowed by the basic monthly fee, so we can create the following equation:

13,755 = F + 30M

However, since we don’t know the value of F, we do not have enough information to determine the value of M. Statement one alone is not sufficient to answer the question. We can eliminate answer choices A and D.

Statement Two Alone:

Naoko used 400 minutes on calls the second month and the total charge for the month was 13,125 yen.

Since 400 < 420, we know that 13,125 yen must be the basic monthly free. That is,

13,125 = F

However, we still do not have enough information to determine the value of M. Statement two alone is not sufficient to answer the question. We can eliminate answer choice B.

Statements One and Two Together:

From statements one and two we have the following equations:

13,755 = F + 30M

AND

13,125 = F

Thus, we have:

13,755 = 13,125 + 30M

630 = 30M

21 = M

Answer: C
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GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions

For a basic monthly fee of F yen, Noak's first cell phone allowed him to use a maximum of 420 minutes on calls during the month. Then, for each of x additional minutes he used on calls, he was charged M yen, making his total charge for the month T, where T=F+xM. What is the value of M?

A) Naoko used 450 minutes on calls the first month and the total charge for the month was 13, 755 yen B) Naoko used 400 minutes on calls the second month and the total charge for the month was 13, 125 yen

Any ideas how to solve this problem ?

Thanks

kristine0912 wrote:

The correct answer here is B because statement 2 alone is sufficient. The question stem does not specify for which month you need to find T

My friend, with all due respect, I disagree with your conclusion. (B) is not sufficient by itself.

You see, we want the value of M, the fee for extra minutes above 420 minutes. If we are considering (B) alone and by itself, (B) gives us the process for a time less than 420 minutes. (B) allows us to figure out directly that F = 13,125 yen. That's great, very valuable, but that doesn't answer the prompt question. We want M, not F.

We need to take that valuable information from (B) back to the additional information in (A) in order to find the value of M. That's why the answer is (C).

Does all this make sense? Mike
_________________

Mike McGarry Magoosh Test Prep

Education is not the filling of a pail, but the lighting of a fire. — William Butler Yeats (1865 – 1939)

Re: For a basic monthly fee of F yen, Noak's first cell phone allowed him [#permalink]

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19 Feb 2017, 19:33

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This post received KUDOS

The official question from OG 2017 (Question 278) is asking for value of F but the question posted on this forum is asking for M, hence the confusion between B and C. The OA is B.

Please see the question. This specific question is asking for the value of M and the one that Bunuel posted is asking for the value of F. I didn't see the official question yet. Both questions can be treated differently and answers are different. So solve accordingly.

Re: For a basic monthly fee of F yen, Noak's first cell phone allowed him [#permalink]

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11 Oct 2017, 01:16

For those who actually go all the way to solve for M, it's nice, but that's not the question. Just showing 2 equations with the same 2 variables is sufficient to answer the question. Why waste time doing the unnecessary?

C is the answer.
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