Hi Experts,
I have another question for you guys, this is the problem:
"A rectangular-shaped carpet remnant that measures x feet by y feet is priced at $50. What is the cost of the carpet, in dollars per square yard? (9 square feet = 1 square yard)
The answer is 450/xy... but I have a doubt...
My reasoning:
Price of the carpte in square feet: 50/xy
If we want it in square yard:
(50/xy)*(square feet)*(1 square yard/ 9 square feet)= (50/xy)*(1/9)*(square yard)= (50/9xy)!!!
Do you have any idea what I am doing wrong?
Thanks in advance,
MS
Carpet price problem
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"A rectangular-shaped carpet remnant that measures x feet by y feet is priced at $50. What is the cost of the carpet, in dollars per square yard? (9 square feet = 1 square yard)
Price of the carpte in square feet: 50/xy
Literally it means that the price of a square piece of carpet measuring 1 feet X 1 feet is $50/xy
If we want it in square yard, it is a larger square.
Each side of the square is now 3 feet (1 yard = 3 feet).
The area of the square is 3 feet X 3 feet = 9 sq. feet.
How many 1 sq. feet can you fit in this 9 sq. feet.
Should you divide 50/xy by 9 or multiply ?
Price of the carpte in square feet: 50/xy
Literally it means that the price of a square piece of carpet measuring 1 feet X 1 feet is $50/xy
If we want it in square yard, it is a larger square.
Each side of the square is now 3 feet (1 yard = 3 feet).
The area of the square is 3 feet X 3 feet = 9 sq. feet.
How many 1 sq. feet can you fit in this 9 sq. feet.
Should you divide 50/xy by 9 or multiply ?
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Sounds some what simple one, hopefully am not missing anyhting.
9Ft.^2 = 1Yd.^2.
Cost of xy Ft.^2 = 50$
Cost of 1 Ft. ^2 = 50/xy $
Cost of 9 Ft.^2 = (50/xy) * 9 = 450/xy $ = Cost of 1 Yd.^2.
9Ft.^2 = 1Yd.^2.
Cost of xy Ft.^2 = 50$
Cost of 1 Ft. ^2 = 50/xy $
Cost of 9 Ft.^2 = (50/xy) * 9 = 450/xy $ = Cost of 1 Yd.^2.
Hi,
Now I know what I did wrong:
This is what I typed:
(50/xy)*(square feet)*(1 square yard/ 9 square feet)= (50/xy)*(1/9)*(square yard)= (50/9xy)!!!
And if we are talking about dollars per square feet, the right formula is:
(50/xy)*(1/square feet)*(9 square feet/ 1 square feet)= (50/xy)*(9)*(square yard)= (450/xy)!!!
Thank you both!
MS
Now I know what I did wrong:
This is what I typed:
(50/xy)*(square feet)*(1 square yard/ 9 square feet)= (50/xy)*(1/9)*(square yard)= (50/9xy)!!!
And if we are talking about dollars per square feet, the right formula is:
(50/xy)*(1/square feet)*(9 square feet/ 1 square feet)= (50/xy)*(9)*(square yard)= (450/xy)!!!
Thank you both!
MS
it would be simpler if we simply put in the conversion in the equation we created
we know that 9 sq ft = 1 sq yd
so xy sq ft = (xy/9) sq yds
and given is that $50 for xy sqft and the xy in terms of yards is xy/9 sq yds
so it can be written as $50/xy sqft and 50/(xy/9) sq yds
bring it up 9* $50/xy , the price in terms of yards = $ 450/xy /sq yds
we know that 9 sq ft = 1 sq yd
so xy sq ft = (xy/9) sq yds
and given is that $50 for xy sqft and the xy in terms of yards is xy/9 sq yds
so it can be written as $50/xy sqft and 50/(xy/9) sq yds
bring it up 9* $50/xy , the price in terms of yards = $ 450/xy /sq yds