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Lv 6
? asked in Science & MathematicsMathematics · 8 years ago

Is this answer correct?

This is a math question for my homework. Please confirm if I answered it correctly or not.

David and Amy are going on holiday with their 3 children.

The following gives information about the cost of travel and the cost of the hotel:

Travel:

Each adult - $60

Each child - $50

Hotel:

Room for 2 adults - $45 per night

Room for 3 children - $55 per night

David and Amy have saved $1500 for their holiday.

They will be away for 7 nights.

How much of the $1500 will they have left to spend on their holiday?

And this is what I answered:

TRAVEL:

David - $60

Amy - $60

Child 1 - $50

Child 2 - $50

Child 3 - $50

Total = $270

HOTEL:

David & Amy - $45 x 7 = $315

The 3 children - %55 x 7 = $385

$385 + $315 + $270 = $970

$1500 - $970 = $530.

They will have $530 left to spend on their holiday.

Update:

Thanks guys!

7 Answers

Relevance
  • 8 years ago
    Favorite Answer

    Cost Function for Adults:

    A(x) = 45x + 120

    Cost function of Children:

    C(x) = 55x + 150

    Total Saved, S = 1500

    A(x) + C(x) ≤ S:

    x = 7

    45(7) + 120 + 55(7) + 150 ≤ 1500

    315 + 120 + 385 + 150 ≤ 1500

    970 ≤ 1500

    and

    1500 - 970 = 530

    so

    The statement is true and your answer is correct.

     

     

    Source(s): 4/28/13
  • 8 years ago

    Excellent - I am a Maths teacher and if you handed this work in, laid out methodically like this, then I would give you top marks.

  • Anonymous
    8 years ago

    Yes, just did the math. you're right.

  • 8 years ago

    Yes, it is completely correct :)

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  • 8 years ago

    Yes, that is correct! Good job :-)

  • 8 years ago

    I believe that that's correct! :)

  • 8 years ago

    No.

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