Answer:
20 miles
Step-by-step 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
