# 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
* 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 -

• 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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