SOLUTION: You as an executive of Rufus' communications recently traveled to London, Paris, and Rome. You paid $280, $330, and $260 per night for loading in London, Paris, and Rome, respect

Algebra ->  Matrices-and-determiminant -> SOLUTION: You as an executive of Rufus' communications recently traveled to London, Paris, and Rome. You paid $280, $330, and $260 per night for loading in London, Paris, and Rome, respect      Log On


   



Question 1206006: You as an executive of Rufus' communications recently traveled to London,
Paris, and Rome. You paid $280, $330, and $260 per night for loading in London,
Paris, and Rome, respectively, and your hotel bills totaled $4060. You spent $130,
$140, and $110 per day for meals in London, Paris, and Rome respectively, and
your expenses for meals totaled $180. If you spent as many days in London as you
did in Paris and Rome combined, how many days did you stay in each city? Use to
Gauss-Jordan method to solve

Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52914) About Me  (Show Source):
You can put this solution on YOUR website!
.

As the numbers are given in this post,  it is  OBVIOUS  that there is a  FATAL  ERROR/(errors)  in input data.

The given data contradict each other and make insurmountable obstacles for a solution.


Double check with your source.  Find the error/(the errors),  fix it/(them) and then re-post to the forum.

Please do not re-post it to me in person.


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It's a pity to see a good mathematical problem mutilated beyond recognition.



Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
x, y, z
time spent London, Paris, Rome

Loading: 280x+330y+260z=4060

Meals: 130x+140y+110z=180 THIS MAKES NO SENSE!! Power of ten mistake? Else?

"As many,...": x=y+z

Recheck your problem description carefully.

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What if move forward but ignore the faulty "meals" information.
280%28y%2Bz%29%2B330y%2B260z=4060
280y%2B330y%2B280z%2B260z=4060
610y%2B540z=4060
61y%2B54z=406----------Can you find Whole Number solutions for this?


Looks like y=4 and z=3.
So x=7.

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To use y=4 and z=3 and x=7, then the Meals equation should be given a "total" of
130%2A7%2B140%2A4%2B110%2A3=highlight_green%28highlight_green%281800%29%29.


" ...,and your expenses for meals totaled $1800."