Answer:
Two boxes will cost [tex]\$35.95\cdot 2=\$71.9.[/tex] The cost of one tile is approximately [tex]\dfrac{\$71.9}{67}\approx \$1.08.[/tex]
Step-by-step explanation:
Note that 1 ft = 12 in, then
[tex]7\ ft\ 6\ in=7\cdot 12+6\ in =90\ in,\\ \\8\ ft\ 10\ in=8\cdot 12+10\ in=106\ in.[/tex]
The area of the floor is
[tex]90\cdot 106=9540\ in^2.[/tex]
Now
[tex]1\ ft^2=144\ in^2,[/tex]
then
144 sq. in - 1 tile,
9540 sq. in - x tiles.
Mathematically,
[tex]\dfrac{144}{9540}=\dfrac{1}{x},\\ \\x=\dfrac{9540}{144}=66.25[/tex]
tiles is needed to cover the floor (67 full tiles).
Each box of tiles contains 45 tiles, so Cristina has to buy 2 boxes. These two boxes will cost [tex]\$35.95\cdot 2=\$71.9.[/tex] The cost of one tile is approximately [tex]\dfrac{\$71.9}{67}\approx \$1.08.[/tex]
