Question

thomas and his mom take a taxi to the airport it costs a flat fee of $10 plus $4.75 a mile his mom adds a 10% tip to the total and pays the diver $58 what is the distance to the airport

Answer 1

1.1(10 + 4.75x) = 58
10 + 4.75x = 580/11
4.75x = 470/11
4 3/4 x = 470/11
19/4x = 470/11
x = 470/11 * 4/19
= around 9 miles

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Answer 2

This is one of those problems that you have to work backwards ...
start with the total, and work  back to the parts that make it up.

-- The total is  $58 .

-- The tip was 10% of the total fare.   
   So 
                                          1.10 (total fare)  =  58

Divide each side by 1.1 :        Total fare    = 58/1.1 =  $52.73

Out of the total fare, $10 was the flat fee before they drove
anywhere.    So the amount for mileage was  $42.73 .

Mileage was charged at the rate of  $4.75 per mile.
So the distance was
                                       42.73 / 4.75  =  9.00 miles (rounded)