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Math Help - problem solving

  1. #1
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    problem solving

    I have another problem i cound't figure how to start.

    problem:

    Jack and Jill spent two weeks (14 nights) touring boston, new york city, philadelphia, and washington d.c. they paid $120, $200, $80, and $100 per night respectively. their total bill was $2020. the number of days spend in NYC was the same as the total number days spent in boston and d.c. They spent 3 nights as many days in NYC as they did in philly. How many days did they stay in each city?



    please help. thanks!
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  2. #2
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    Quote Originally Posted by Anemori View Post
    I have another problem i cound't figure how to start.

    problem:

    Jack and Jill spent two weeks (14 nights) touring boston, new york city, philadelphia, and washington d.c. they paid $120, $200, $80, and $100 per night respectively. their total bill was $2020. the number of days spend in NYC was the same as the total number days spent in boston and d.c. They spent 3 nights as many days in NYC as they did in philly. How many days did they stay in each city?
    b,n,p,w stand for the number of days/nights each city Jack and Jill stayed in.

    Here's some equations to work with

     120b +200n+80p+100w=2020

    Can it be assumed the number of days = the number of nights? If so also

     n=b+w
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  3. #3
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    120b +200n+80p+100w=2020

    b=3
    n=6
    p=2
    w=3

    I plugged those numbers and i got it right...

    120(3)+200(6)+80(2)+100(3)=2020

    If I didn't know those numbers and i want to use matrices to find those numbers, what should i do?
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