SOLUTION: A movie-rental company has two plans. The first plan has a charge of $7 per month and then $1 per movie rented. The second plan has a charge of $20 per month and then $0.50 per m

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: A movie-rental company has two plans. The first plan has a charge of $7 per month and then $1 per movie rented. The second plan has a charge of $20 per month and then $0.50 per m      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 596189: A movie-rental company has two plans. The first plan has a charge of $7
per month and then $1 per movie rented. The second plan has a charge of
$20 per month and then $0.50 per movie rented. Bill has the first plan and Deanna has the second plan. Last month, they both paid exactly the same amount of money and rented the same number of movies.
Exactly how much money did Bill and Deanna each pay last month for their movie rentals? Please show me the steps.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A movie-rental company has two plans. The first plan has a charge of $7
per month and then $1 per movie rented.
C1 = 7 + x dollars, where x is the number of movies rented
-----------------------
The second plan has a charge of $20 per month and then $0.50 per movie rented.
C2 = 20 + 0.5x, where x is the number of movies rented.
-----------------------
Bill has the first plan and Deanna has the second plan. Last month, they both paid exactly the same amount of money and rented the same number of movies.
Exactly how much money did Bill and Deanna each pay last month for their movie rentals? Please show me the steps.
-----
Solve:
7+x = 20+0.5x
0.5x = 13
x = 26 (# of movies each rented)
============
Bill Cost: 7+x = 7+26 = $33.00
Deanna Cost: 20 + 0.5x = 20+13 = $33.00
==========================================
Cheers,
Stan H.