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

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Math Expert
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To reproduce an old photograph, a photographer charges x dollars to ma  [#permalink]

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New post 05 Jul 2018, 23:23
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A
B
C
D
E

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Question Stats:

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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

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

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New post 05 Jul 2018, 23:29
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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New post 05 Jul 2018, 23:32
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)
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Re: To reproduce an old photograph, a photographer charges x dollars to ma  [#permalink]

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New post 13 Jul 2018, 14:19
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

Answer: E
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Re: To reproduce an old photograph, a photographer charges x dollars to ma   [#permalink] 13 Jul 2018, 14:19
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