SOLUTION: Kevin takes pictures for weddings and special occasions. He charges a certain amount for the event and then charges so much for each picture he takes. For stacy's wedding he charg

Algebra ->  Test -> SOLUTION: Kevin takes pictures for weddings and special occasions. He charges a certain amount for the event and then charges so much for each picture he takes. For stacy's wedding he charg      Log On


   



Question 360584: Kevin takes pictures for weddings and special occasions. He charges a certain amount for the event and then charges so much for each picture he takes. For stacy's wedding he charged $600 and took 200 pictures. For shelly's wedding he charged $712.50 and took 275 pictures. How much does kevin charge per picture?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let e = the amount he charges per event
Let p = the amount he charges per picture
given:
For Stacy's wedding:
(1) 60000+=+e+%2B+200p (in cents)
For Shelly's wedding:
(2) 71250+=+e+%2B+275p (in cents)
Subtract equation (1) from (2)
71250+=+e+%2B+275p
-60000+=+-e+-+200p
11250+=+75p
p+=+150
Keven charges 150 cents, or $1.50 per picture
check answer:
(1) 60000+=+e+%2B+200p
60000+=+e+%2B+200%2A150
60000+=+e+%2B+30000
e+=+60000+-+30000
e+=+30000
and
(2) 71250+=+e+%2B+275p
71250+=+30000+%2B+275p
275p+=+41250
p+=+150
OK