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# A photo-mat shop charges \$0.55 for the first photo inside a film, and

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Joined: 02 Sep 2009
Posts: 64144
A photo-mat shop charges \$0.55 for the first photo inside a film, and  [#permalink]

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28 Jun 2016, 06:10
00:00

Difficulty:

25% (medium)

Question Stats:

100% (02:50) correct 0% (00:00) wrong based on 11 sessions

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A photo-mat shop charges \$0.55 for the first photo inside a film, and 40% cents less for each additional photo. How many photos can we develop with \$52.58 if each film contains 36 photos?

A. 4 films and 12 photos
B. 5 films and 6 photos
C. 5 films and 14 photos
D. 6 films and 4 photos
E. 6 films and 28 photos

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Re: A photo-mat shop charges \$0.55 for the first photo inside a film, and  [#permalink]

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28 Jun 2016, 06:46
1
Bunuel wrote:
A photo-mat shop charges \$0.55 for the first photo inside a film, and 40% cents less for each additional photo. How many photos can we develop with \$52.58 if each film contains 36 photos?

A. 4 films and 12 photos
B. 5 films and 6 photos
C. 5 films and 14 photos
D. 6 films and 4 photos
E. 6 films and 28 photos

1st photo = 0.55
Subsequent = 0.55*0.6=0.33

Price of 1 full film=0.55+0.33*35=12.1
Price of 4 full film = 12.1*4=48.4

52.58-48.4=4.18

4.18=0.55+0.33x
x=11

52.58--->4 full films and 1+11=12 photos

Shortcut:
Price of 1 full film is 12.1 so we cannot have 5 full films as 12.1*5=60.5 and we need 52.58. Only option A seems valid.
Re: A photo-mat shop charges \$0.55 for the first photo inside a film, and   [#permalink] 28 Jun 2016, 06:46