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 a
nd pays the diver $58 what is the distance to the airport
2 answers:
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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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)
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