Using this pattern, which fits the floor plan perfectly, how many of each tile will I need? $\newline$ The Surf's Up Tile Shop told me that all of the tiles would cost $\$ 2019.60$ and that the small tiles cost $\$ 1.49$ each, but l've forgotten the cost of the $8$ -inch tiles. Can you help me determine the cost of one of them?

Full solution

Q. Using this pattern, which fits the floor plan perfectly, how many of each tile will I need?

\newline

The Surf's Up Tile Shop told me that all of the tiles would cost

\$ 2019.60

and that the small tiles cost

\$ 1.49

each, but l've forgotten the cost of the

8

-inch tiles. Can you help me determine the cost of one of them?

Calculate Small Tiles: First, let's figure out how many small tiles we can buy with $\$2019.60$ if each costs $\$1.49$ . To do this, divide the total cost by the cost per small tile: $\$2019.60 \div \$1.49$ .
Round Down to Whole Number: Perform the division: $2019.60 / 1.49 = 1355.4362416107383$ . Since we can't buy a fraction of a tile, we round down to the nearest whole number: $1355$ tiles.
Calculate Cost of Small Tiles: Now, subtract the cost of the small tiles from the total cost to find out how much money was spent on $8$ -inch tiles. $\newline$ The cost of small tiles is $1355 \text{ tiles} * (\$1.49) \text{ per tile}.$
Correct Calculation: Calculate the cost of the small tiles: $1355 \times 1.49 = \$(2018.95). Oops, looks like we made a mistake here. The correct calculation should be$ $1355$ \times $1$ . $49$ = \$($2019$.$95$).