Tom needs carpet for his living room (11x 10 ft) and his bedroom room (20 x 16 ft). At $14.99 per square yard installed or $19.99 per square yard installed. How much would he save by choosing the cheaper carpet?
area = 11*10 + 16*20 or 430 square feet
There are 9 square feet in 1 square yard.
divide by 9, then multiply by each unit cost
subtract the two costs to find the savings.
430 /9= 47.777
47.78*19.99=955.12 less
47.78*14.99 =716.22
Answer $238.90 he would save ... Correct?
yes, arithmetically you are correct,
comment:
What do you think would happen if you went into a store and asked for 47.7777 square yards of carpet?
I wish text-book authors would think before they make up such unrealistic problems.
e.g. most likely you will have to buy a carpet which is 12 ft wide, and have waste.
For the other room you might even have to join different widths.
Haha ... Ok. Thanku soo much!
To find out how much Tom would save by choosing the cheaper carpet, we first need to calculate the total cost of carpeting for both the living room and the bedroom using both options.
Let's start with the living room, which measures 11 ft x 10 ft. This gives us an area of 110 square feet (11 x 10 = 110). To convert this to square yards, we divide it by 9 since there are 9 square feet in one square yard.
For the living room:
Area in square yards = 110 sq ft / 9 = 12.22 sq yd
Next, let's calculate the cost of carpeting the living room using the first option, which is $14.99 per square yard installed.
Cost for living room = Area in square yards x Cost per square yard
= 12.22 sq yd x $14.99/sq yd
= $183.44
Now, let's calculate the cost for carpeting the living room using the second option, which is $19.99 per square yard installed.
Cost for living room = Area in square yards x Cost per square yard
= 12.22 sq yd x $19.99/sq yd
= $244.34
Now, let's repeat the same process to find the cost for the bedroom.
For the bedroom:
Area = 20 ft x 16 ft = 320 sq ft
Area in square yards = 320 sq ft / 9 = 35.56 sq yd
Using the first option:
Cost for bedroom = 35.56 sq yd x $14.99/sq yd
= $533.10
Using the second option:
Cost for bedroom = 35.56 sq yd x $19.99/sq yd
= $711.83
Now, let's calculate the total cost of carpeting for both rooms using each option.
Total cost using the first option = Cost for living room + Cost for bedroom
= $183.44 + $533.10
= $716.54
Total cost using the second option = Cost for living room + Cost for bedroom
= $244.34 + $711.83
= $956.17
To find out how much Tom would save by choosing the cheaper carpet, we subtract the total cost of the cheaper option from the total cost of the more expensive option.
Savings = Total cost using the second option - Total cost using the first option
= $956.17 - $716.54
= $239.63
Therefore, Tom would save $239.63 by choosing the cheaper carpet option.