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A shoe Cobbler charges n dollars [#permalink]
03 Jan 2013, 00:09

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Difficulty:

45% (medium)

Question Stats:

62% (03:16) correct
37% (03:55) wrong based on 69 sessions

A shoe cobbler charges n dollars to repair a single pair of loafers. Tomorrow, he intends to earn 240 dollars repairing loafers. If he were to reduce his fee per pair by 20 dollars, he would have to repair an additional pair of the loafers to ear the same amount of revenue. How many pair of loafers does he intend to repair tomorrow?

Re: A shoe Cobbler charges n dollars [#permalink]
03 Jan 2013, 01:33

2

This post received KUDOS

Expert's post

PraPon wrote:

A shoe cobbler charges n dollars to repair a single pair of loafers. Tomorrow, he intends to earn 240 dollars repairing loafers. If he were to reduce his fee per pair by 20 dollars, he would have to repair an additional pair of the loafers to ear the same amount of revenue. How many pair of loafers does he intend to repair tomorrow?

Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5

See if you can solve it without using algebraic calculations. Explain your shortest method.

240/n=240/(n-20)-1 --> n=80 --> 240/n=240/80=3.

Answer: C.

P.S. Please provide OA's for the questions and tag them correctly.
_________________

Re: A shoe Cobbler charges n dollars [#permalink]
27 Jun 2013, 19:25

Expert's post

jjack0310 wrote:

Wouldn't the answer actually be D - 4?

The question is asking for how many pair of loafers does he intend to repair tomorrow?

This is (x + 1) (because he would have to repair an additional pair) So shouldn't the answer be (x + 1 = 3 + 1 = 4 = D ??)

Thanks for the help

We are told that the cobbler charges n dollars to repair a pair of shoes. Then we are told that IF he charged n-20 dollars he would have to repair an additional pair. Notice that we are not told that he WILL charge n-20 dollars, just IF.

Re: A shoe Cobbler charges n dollars [#permalink]
29 Jun 2013, 10:53

Bunuel wrote:

jjack0310 wrote:

Wouldn't the answer actually be D - 4?

The question is asking for how many pair of loafers does he intend to repair tomorrow?

This is (x + 1) (because he would have to repair an additional pair) So shouldn't the answer be (x + 1 = 3 + 1 = 4 = D ??)

Thanks for the help

We are told that the cobbler charges n dollars to repair a pair of shoes. Then we are told that IF he charged n-20 dollars he would have to repair an additional pair. Notice that we are not told that he WILL charge n-20 dollars, just IF.

Hope it's clear.

So technically, they have given the future scenario for the cobbler just so we can solve the problem. I mean without that specific sentence we would have too many unknowns.

Re: A shoe Cobbler charges n dollars [#permalink]
29 Jun 2013, 11:50

Expert's post

jjack0310 wrote:

Bunuel wrote:

jjack0310 wrote:

Wouldn't the answer actually be D - 4?

The question is asking for how many pair of loafers does he intend to repair tomorrow?

This is (x + 1) (because he would have to repair an additional pair) So shouldn't the answer be (x + 1 = 3 + 1 = 4 = D ??)

Thanks for the help

We are told that the cobbler charges n dollars to repair a pair of shoes. Then we are told that IF he charged n-20 dollars he would have to repair an additional pair. Notice that we are not told that he WILL charge n-20 dollars, just IF.

Hope it's clear.

So technically, they have given the future scenario for the cobbler just so we can solve the problem. I mean without that specific sentence we would have too many unknowns.

I think I was over thinking the problem. Thanks,

Correct. Only that "n-20 dollars" case is not a future scenario it's a hypothetical scenario.
_________________

Re: A shoe Cobbler charges n dollars [#permalink]
16 Oct 2013, 10:40

Bunuel wrote:

PraPon wrote:

A shoe cobbler charges n dollars to repair a single pair of loafers. Tomorrow, he intends to earn 240 dollars repairing loafers. If he were to reduce his fee per pair by 20 dollars, he would have to repair an additional pair of the loafers to ear the same amount of revenue. How many pair of loafers does he intend to repair tomorrow?

Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5

See if you can solve it without using algebraic calculations. Explain your shortest method.

240/n=240/(n-20)-1 --> n=80 --> 240/n=240/80=3.

Answer: C.

P.S. Please provide OA's for the questions and tag them correctly.

Re: A shoe Cobbler charges n dollars [#permalink]
16 Oct 2013, 10:50

Expert's post

Skag55 wrote:

The loafer charges n per pair, and he is intending to make 240 from x pairs:

240 = x * n

If he wants to reduce the price by 20 (n - 20) he needs to repair 1 more ( x + 1)

240 = (n-20)(x+1) xn = (n-20)(x+1) xn = xn + n - 20x -20 n - 20x = 20......

what am I doing wrong?

This is not a best way to solve the problem but you could still get the correct answer: From 240=xn --> x=240/n --> substitute: n - 20*240/n= 20 --> solve: n=80 --> 240/80=3.
_________________

Re: A shoe Cobbler charges n dollars [#permalink]
16 Oct 2013, 10:50

Expert's post

Skag55 wrote:

Bunuel wrote:

PraPon wrote:

A shoe cobbler charges n dollars to repair a single pair of loafers. Tomorrow, he intends to earn 240 dollars repairing loafers. If he were to reduce his fee per pair by 20 dollars, he would have to repair an additional pair of the loafers to ear the same amount of revenue. How many pair of loafers does he intend to repair tomorrow?

Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5

See if you can solve it without using algebraic calculations. Explain your shortest method.

240/n=240/(n-20)-1 --> n=80 --> 240/n=240/80=3.

Answer: C.

P.S. Please provide OA's for the questions and tag them correctly.

Should it be +1 ?

Let me ask you a question: which is greater 240/n or 240/(n-20)?
_________________