Mr. Frank is shopping for carpet for his living room and dining room. The living room is 20 feet by 16 feet and the dining room is 11 feet by 10 feet. He looked at two differently priced carpets. One for $14.99 a square yard installed and another for $19.99 a square yard installed. How much would he save by choosing the cheaper carpet?
Convert area into square yards.
[(20*16)+(11*10)]/9 = ?
$19.99 - $14.99 = $5
$5 * ? = ??
To find out how much Mr. Frank would save by choosing the cheaper carpet, we first need to calculate the area of the living room and the dining room separately.
The area of a rectangle can be found by multiplying its length by its width. Let's calculate the area of the living room:
Area of living room = Length × Width = 20 ft × 16 ft = 320 sq ft
Similarly, let's calculate the area of the dining room:
Area of dining room = Length × Width = 11 ft × 10 ft = 110 sq ft
Now we need to convert the area from square feet to square yards. Since 1 yard is equal to 3 feet, we can find the conversion factor:
Conversion factor = 1 yard / 3 feet = 1/3
Next, we'll calculate the area in square yards for both rooms:
Area of living room (in sq yards) = Area of living room (in sq ft) × Conversion factor = 320 sq ft × (1/3) = 106.67 sq yds (approx.)
Area of dining room (in sq yards) = Area of dining room (in sq ft) × Conversion factor = 110 sq ft × (1/3) = 36.67 sq yds (approx.)
Now, we can calculate the total area for both rooms:
Total area = Area of living room + Area of dining room = 106.67 sq yds + 36.67 sq yds = 143.34 sq yds (approx.)
Finally, we can calculate the costs for both carpets based on the total area:
Cost for cheaper carpet = Total area × Price per sq yard = 143.34 sq yds × $14.99/sq yd = $2,149.59 (approx.)
Cost for more expensive carpet = Total area × Price per sq yard = 143.34 sq yds × $19.99/sq yd = $2,868.57 (approx.)
To find out how much Mr. Frank would save by choosing the cheaper carpet, we subtract the cost of the cheaper carpet from the cost of the more expensive carpet:
Savings = Cost for more expensive carpet - Cost for cheaper carpet = $2,868.57 - $2,149.59 = $718.98 (approx.)
Therefore, Mr. Frank would save approximately $718.98 by choosing the cheaper carpet.