To take a taxi, it costs / $3.00 plus an additional / $2.00per mile traveled. You spent exactly / $20 on a taxi, which includes the / $1 tip you left. How many miles did you travel

A taxi ride where the total fare is $3, $2 for every mile travelled plus a $1 tip and the original cost of $20.

First write a formula that expresses the cost of the ride:

Total cost = Flat fee + Mileage + Tip

Now let's drop in what we know:

20 = 3+2 (miles) + 1 - we know the total cost is 20, the fee of 3, the tip of 1 and the cost per mile of 2. The only thing we don't know is the number of miles. So let's solve for that.

Subtract 3 and 1 from both sides to get:

16=2 (miles)

Divide both sides by 2:

8=miles

Therefore, you traveled 8 miles.