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# To reproduce an old photograph, a photographer charges x dollars to ma

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Math Expert
Joined: 02 Sep 2009
Posts: 50613
To reproduce an old photograph, a photographer charges x dollars to ma  [#permalink]

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05 Jul 2018, 22:23
00:00

Difficulty:

5% (low)

Question Stats:

100% (01:31) correct 0% (00:00) wrong based on 25 sessions

To reproduce an old photograph, a photographer charges x dollars to make a negative, $$\frac{3x}{5}$$ dollars for each of the first 10 prints, and $$\frac{x}{5}$$ dollars for each print in excess of 10 prints. If $45 is the total charge to make a negative and 20 prints from an old photograph, what is the value of x? (A) 3 (B) 3.5 (C) 4 (D) 4.5 (E) 5 _________________ Senior PS Moderator Joined: 26 Feb 2016 Posts: 3307 Location: India GPA: 3.12 To reproduce an old photograph, a photographer charges x dollars to ma [#permalink] ### Show Tags 05 Jul 2018, 22:29 Bunuel wrote: To reproduce an old photograph, a photographer charges x dollars to make a negative, $$\frac{3x}{5}$$ dollars for each of the first 10 prints, and $$\frac{x}{5}$$ dollars for each print in excess of 10 prints. If$45 is the total charge to make a negative and 20 prints from an old photograph, what is the value of x?

(A) 3
(B) 3.5
(C) 4
(D) 4.5
(E) 5

From the question stem, we can deduce the following information
$$x + 10*\frac{3x}{5} + (n-10)*\frac{x}{5} = 45$$ where n = total number of prints.

Substituting the value for n = 20,$$x + 6x + 2x = 45$$ -> $$x = \frac{45}{9} = 5$$

Therefore, the total charge of making a negative and 20 prints is 5(Option E)
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Re: To reproduce an old photograph, a photographer charges x dollars to ma  [#permalink]

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05 Jul 2018, 22:32
Bunuel wrote:
To reproduce an old photograph, a photographer charges x dollars to make a negative, $$\frac{3x}{5}$$ dollars for each of the first 10 prints, and $$\frac{x}{5}$$ dollars for each print in excess of 10 prints. If $45 is the total charge to make a negative and 20 prints from an old photograph, what is the value of x? (A) 3 (B) 3.5 (C) 4 (D) 4.5 (E) 5 Given,$$x+10*\frac{3x}{5}+10*\frac{x}{5}$$=$$45$$ Or, 9x=45 Or, x=5 Ans. (E) _________________ Regards, PKN Rise above the storm, you will find the sunshine Target Test Prep Representative Status: Head GMAT Instructor Affiliations: Target Test Prep Joined: 04 Mar 2011 Posts: 2830 Re: To reproduce an old photograph, a photographer charges x dollars to ma [#permalink] ### Show Tags 13 Jul 2018, 13:19 Bunuel wrote: To reproduce an old photograph, a photographer charges x dollars to make a negative, $$\frac{3x}{5}$$ dollars for each of the first 10 prints, and $$\frac{x}{5}$$ dollars for each print in excess of 10 prints. If$45 is the total charge to make a negative and 20 prints from an old photograph, what is the value of x?

(A) 3
(B) 3.5
(C) 4
(D) 4.5
(E) 5

We can create the equation:

45 = x + 10(3x/5) + 10(x/5)

45 = x + 6x + 2x

45 = 9x

5 = x

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Re: To reproduce an old photograph, a photographer charges x dollars to ma &nbs [#permalink] 13 Jul 2018, 13:19
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# To reproduce an old photograph, a photographer charges x dollars to ma

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