SOLUTION: Hi A delivery company charged $3 for every parcel delivered but it would pay a fine of $30 for every parcel lost. In a certain week the company was paid $183 for their services.

Question 1193324: Hi
A delivery company charged $3 for every parcel delivered but it would pay a fine of $30 for every parcel lost. In a certain week the company was paid $183 for their services. If 3 parcels were lost,how many were delivered safely.
Thanks
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
let x = the number delivered.
let y = number lost.
r = total money made.
they get 3 dollars for each package delivered and are charged 30 dollars for each package lost.
your equation is r = 3x - 30y
in a certain week they made 183 dollars and lost 3 packages.
your equation becomes 183 = 3x - 30*3 which becomes 183 = 3x - 90
add 90 to both sides of this equation to get:
273 = 3x
solve for x to get:
x = 273/3 = 91.
looks like they delivered 91 packages and lost 3.
their revenue would be 91 * 3 - 3 * 30 = 273 - 90 = 183.
this confirms the values for x and y are good.
your solution is that 91 packages were delivered safely.

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