Solve equation please

Question

Mike’s Movie Rentals charges $3.00 for each rental plus $0.50 for each additional day. Reed’s Rentals charges $1.50 for each rental plus $1.25 for each additional day. For what number of additional days will the bill at both stores be the same?

Answer 1

Hi Taylor;

With these problems we first just need to set some variable so;

 

Let m = Mike's cost

Let r = Reed's cost

d = # additional days

 

From the information given we can set up cost equations

for Mikes and Reeds Rentals:

 

m = 0.5d + 3

r = 1.25d + 1.5

 

Set the equations equal to each other and solve for d:

 

1.25d + 1.5 = 0.5d + 3

0.75d = 1.5

d = 2 additional days