Question

The Ace Bicycle Shop charges a flat fee

of $4, plus $1 per hour, for the hire of a
bicycle. The Best Bicycle Shop charges
a flat fee of $8, plus 50 cents per hour.
Connie and her friends hire three bicycles
from Ace, and David and his brother hire
two bicycles from Best. After how many
hours will their hire costs be the same?

Answer 1

x = number of hours = 8 hours

Explanation:

Let

x = number of hours

There are 3 people who rented bicycle from each shop

Ace bicycle shop:

Total cost = 3(4 + x)

= 12 + 3x

Best bicycle shop:

Total cost = 3(8 + 0.50x)

= 24 + 1.5x

Equate both equations and solve

12 + 3x = 24 + 1.5x

12 - 24 = 1.5x - 3x

-12 = -1.5x

x = -12/-1.5

x = 8 hours

x = number of hours = 8 hours