Part 1: Set up 2 ratios and solve to find the actual size of the room.
1. Find the actual width of the room.
The problem states that floor plan has a ratio of 50 to 1. We can write this this as 50 / 1 and set it equal to an other ratio: x / 2.4 (2 2/5 as a decimal), where x is the actual width of the room. It should look like this:
50 x
----- = -----
1 2.4
To solve, start by cross multiplying.
(50)(2.4) = (1)(x)
120 = x
x = 120
The actual width of the room is equal to 120 ft.
2. Find the actual length of the room.
50 x
----- = -----
1 3
To solve, start by cross multiplying.
(50)(3) = (1)(x)
150 = x
x = 150
The actual length of the room is 150 ft.
Part 2: Find the area of the room.
a = (l)(w); a = area, l = length, w = width
a = (150)(120)
a = 18,000 ft^2
Part 3: Find the cost of covering the whole floor with wood flooring.
$7.99 per square foot
18, 000 total square feet
(18, 000)(7.99) = 143, 820
Covering the entire living room floor with wood will cost $143, 820.00.
Part 4: State your answer.
No, Lucia will not be able to cover the whole living room floor with wood for under $1000.00.
**I'm not 100% sure this is correct, but I'm like...95% sure. I'm sorry if it's wrong, but I really hope it's not!**
