Posted by **ben** on Saturday, December 8, 2012 at 10:15pm.

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 -
**Damon**, Saturday, December 8, 2012 at 10:20pm
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 -
**Damon**, Saturday, December 8, 2012 at 10:23pm
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 -
**ben**, Saturday, December 8, 2012 at 10:25pm
Okay I was dividing by 3 instead of 9. Got it now, thanks.

- problem solving -
**Damon**, Saturday, December 8, 2012 at 10:42pm
1 yd^2(3 ft/1yd)(3 ft/1 yd) = 9 ft^2/yd^2

- problem solving -
**Damon**, Saturday, December 8, 2012 at 10:51pm
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 -
**Damon**, Saturday, December 8, 2012 at 10:52pm
Just get that idea in your head and these are easy.

- problem solving -
**Anonymous**, Saturday, December 8, 2012 at 11:39pm
Maria earns d dollars and owes $850 in expenses. How much, in dollars, does she have left after paying for expenses?

- problem solving -
**Damon**, Sunday, December 9, 2012 at 11:24am
d-850

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