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Math Help - Word Problem

  1. #1
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    Word Problem

    Ok, I need help on this word problem.

    Nestor travels a lot for his business. Places like New York and Chicago.
    The Fare for chicago is $1.50 + 25 cents per 1/10 of a mile. And the taxi fare for new york is $1.90 per ride x $1.60 per mile. Nestor says that when going from the airport to the hotel in both cities was the same amount of money But in the new york he made a $12.20 tip. What were the amount of miles traveled from the airport to the hotels in both cities. (It has to be the same)
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Blayde View Post
    Ok, I need help on this word problem.

    Nestor travels a lot for his business. Places like New York and Chicago.
    The Fare for chicago is $1.50 + 25 cents per 1/10 of a mile. And the taxi fare for new york is $1.90 per ride x $1.60 per mile. Nestor says that when going from the airport to the hotel in both cities was the same amount of money But in the new york he made a $12.20 tip. What were the amount of miles traveled from the airport to the hotels in both cities. (It has to be the same)
    Let the unknown distance be x (in miles) , then we have the taxi cost in C is:

    1.50 + 2.5x

    and in NY

    1.90 + 1.60x + 12.20

    these are equal so:

    1.50 + 2.5x = 1.90 + 1.60x + 12.20

    or:

    0.9 x = 12.6,

    which gives x=14 miles.

    RonL
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