Question

Hi, I need an answer to this question pls. Louisa used Uber which charges $2 for the first mile and $1.10 for each additional mile. Pietro used Lift which charges $5 for the first mile and $0.95 for each additional mile. They paid the same amount and traveled the same distance. How far did they travel? Show work pls!!

Answer 1

20 miles

Explanation:

Let x = amount charge each mile

y = total price paid

Since the Uber charged $1.10 for each mile, we multiply x by 1.1 like this 1.1x

Also, $2 were already charged so we add 2 to the total price

y = 1.1x + 2

Since the Lyft charged $0.95 for each mile, we multiply x by 0.95 like this 0.95x

Also, $5 were arleady charged so we add 5 to the total price

y = 0.95x + 5

We have to find a price where both rides match

1.1x + 2 = 0.95x + 5

Let's move the like terms to one side by subtracting 0.95x from both sides

1.1x + 2 = 0.95x + 5

-0.95x -0.95x

0.15x + 2 = 5

Now, subtract 2 from both sides

0.15x + 2 = 5

- 2 - 2

0.15x = 3

Finally, divide both sides by the coefficient, 0.15, to isolate the variable, x

0.15x/0.15 = 3/0.15

x = 20

This means they traveled 20 miles if they were to pay the same price