While the problem may seem confusing and complicated at first, it’s basic subtraction and division at the core of it. Let’s go through the process.
Carmen paid $11.70 in total, while being charged $0.80 per mile and an initial fee of $2.10. In order to determine our answer, we need to subtract our initial fee of $2.10 from the total Carmen paid. What this does is establish an equation for us to determine the total amount of miles she traveled.
Subtract 2.10 from 11.70; we’re left with 9.60.
Here’s the final equation needed in order to solve for the total miles: 0.80x = 9.60
Now, to solve for x, the total amount of miles, we have to isolate it. In order to accomplish this task, divide both sides of the equation (0.80x and 9.60) by 0.80.
0.80x / 0.80 = x; 9.60 / 0.80 = 12
We’re left with the remaining equation and solution: x = 12.
Carmen traveled 12 miles in total.
I hope this helps!
