SOLUTION: The cost of a color film for 12 photographs is normally $1.08. Additionally the cost of printing the 12 photographs is normally $1.92. a) Show that the total cost of each photogra

Algebra ->  Finance -> SOLUTION: The cost of a color film for 12 photographs is normally $1.08. Additionally the cost of printing the 12 photographs is normally $1.92. a) Show that the total cost of each photogra      Log On


   



Question 389188: The cost of a color film for 12 photographs is normally $1.08. Additionally the cost of printing the 12 photographs is normally $1.92.
a) Show that the total cost of each photograph is normally 25 cents,
b) One shop decides to sell 3 films for the price of 2 films. The cost of printing remains $1.92 for each film. Calculate the total cost of each photograph at this shop.
c) A second shop keeps the price of the film $1.08 and offers a reduction of 25 % off the cost of printing. Calculate the total cost of each photograph at this shop.
d) Calculate the percentage reduction in the total cost, of a photograph obtained from the second shop.

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
The cost of a color film for 12 photographs is normally $1.08. Additionally the cost of printing the 12 photographs is normally $1.92.
a) Show that the total cost of each photograph is normally 25 cents,
let us solve in cents.
...
cost of film $1.08 = 108 cents
cost of printing = 192 cents
Total= 300 cents
..
cost per photograph = 300/25
=25 cents
...
b) One shop decides to sell 3 films for the price of 2 films. The cost of printing remains $1.92 for each film. Calculate the total cost of each photograph at this shop.
3 films cost 108*2 = 216 cents
printing = 192*3=576 cents
Total: 216+576=792 cents
Cost per photograph = 792/36
Cost per photograph = 22 cents
...
c) A second shop keeps the price of the film $1.08 and offers a reduction of 25 % off the cost of printing. Calculate the total cost of each photograph at this shop.
..
Cost of film = 108 cents
cost of printing = 192 less 25%
cost of printing = 192 *0.75 = 144 cents
Total cost for 12 photographs = 108+144=252 cents
cost per photograph = 252/12
cost per photograph = 21 cents
...
d) Calculate the percentage reduction in the total cost, of a photograph obtained from the second shop.
22-21 =1 cent cheaper
1/22*100 =4.54% reduction
...
m.ananth@hotmail.ca