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

Mike=3+0.5d where d=number of days
Reed=1.5+1.25d

where are they equal?

Mike=Reed
3+0.5d=1.5+1.25d
minus 0.5d from both sides
3=1.5+0.75d
minus 1.5 from both sides
1.5=0.75d
divide both sides by 0.75
2=d

answer is 2 days