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problem solving

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You need to put a carpet in a rectangular room that measures 13 feet by 22 feet as a cost of $19.50 per square yard. Assuming that you can buy precisely the amount of carpet you need, how much will the carpet for the room cost? Demonstrate step-by-step solution.

I got $1,858.9999. is that right?

  • problem solving -

    19.5 $/y^2 * 1 y^2/9ft^2 = (19.5/9)$/ft^2

    13 ft * 22 ft = 286 ft^2

    286 ft^2 * (19.5/9) $/ft^2 = 619.67dollars

  • problem solving -

    approximate in head to see if reasonable

    15 * 20 = 300 ft^2
    about 10 ft^2 / yard^2 (nine is about ten)
    so about 30 y^2
    * 20 = 600 dollars

  • problem solving -

    Okay I was dividing by 3 instead of 9. Got it now, thanks.

  • problem solving -

    1 yd^2(3 ft/1yd)(3 ft/1 yd) = 9 ft^2/yd^2

  • problem solving -

    always multiply by things that are the same top and bottom so the units come out (you are really always multiplying by one)

    for example
    3600 seconds is the same as 1 hour
    so
    3600 s/1 hr
    is the same top and bottom
    and
    1 hr/3600 s
    is the same top and bottom

    same deal with 1 ft/12 in
    or 12 in / 1 ft

    or 1 mi / 5280 ft
    or 5280 ft/ 1 mi
    ( if using landlubber miles )

    or 16 oz /lb or 1 lb/16 oz
    etc

  • problem solving -

    Just get that idea in your head and these are easy.

  • problem solving -

    Maria earns d dollars and owes $850 in expenses. How much, in dollars, does she have left after paying for expenses?

  • problem solving -

    d-850

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