Question

A certain taxi driver charges a rate of r cents per person per mile. How much money, in dollars, would it cost three people to travel x miles if he gives them a 50% discount? (100 cents = 1 dollar)

Answer 1

Answer:

It would cost ( 3xr/200) dollars  to three people to travel x miles.

Step-by-step explanation:

Here, according to the question:

The rate of the taxi fare = r cents per person per mile

The total number of people travelling = 3 friends

Each person travels x miles.

So, the total distance traveled by 3 friends

= 3  ( Distance traveled by 1 friend) = (3 x) miles

Now, as each mile costs r cents.

So, the cost of travelling (3 x) miles  = ( 3 x) (r)  cents   .... (1)

Also, 100 cents = $ 1

So,  1 cent = (1/100) dollars

⇒ r cents  = (r/100) dollars

So, the cost of travelling (3 x) miles  = ( 3xr/100) dollars  .... (2)

Now, If he gives them a 50% DISCOUNT.

Then the cost of travelling (3 x) miles  = ( 3xr/ 2 x 100) dollars  

= ( 3xr/200) dollars  

Hence,it would cost ( 3xr/200) dollars  to three people to travel x miles.