Amy is putting a new floor in her bathroom. She created a scale drawing of her bathroom floor using a scale of 1/2 inch = 1 foot. In the drawing, the bathroom measures 3 inches by 3 1/2 inches. Amy is purchasing square tiles that measure 1/2 foot on each side. The cost of each tile is $3.00. How much will Amy pay for the tiles for her bathroom floor?

Amy will pay $3.00 for the tiles for her bathroom floor.

What is Fraction?

A fraction represents a part of a whole.

The scale is 1/2 inch = 1 foot.

Length of bathroom = 3 inches × (1 foot / 24 inches)

= 1/8 feet

Width of bathroom = inches(1 foot / 24 inches)

= 7/24 feet

We need to calculate the total area of the bathroom floor in square feet:

Area of bathroom floor = (length) x (width)

= (1/8 feet) x (7/24 feet)

= 7/192 square feet

Since each tile measures 1/2 foot on each side, the area of each tile is:

Area of one tile = (1/2 feet) x (1/2 feet) = 1/4 square feet

Total area of tiles needed = (area of bathroom floor) / (area of one tile)

= (7/192 square feet) / (1/4 square feet)

= 7/48 tiles

Amy will need to purchase 1 tile at a cost of $3.00 per tile, so the total cost of the tiles for her bathroom floor will be:

Total cost = (number of tiles) x (cost per tile)

= 1 tile x $3.00/tile = $3.00

Hence, Amy will pay $3.00 for the tiles for her bathroom floor.

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Answer:

$78.00

Step-by-step explanation:

First, you would have to figure out how many tiles she would need. 3 inches is  equal to 6 feet according to the scale part, and then it would be 12 tiles because it is half a foot for the tiles. Then 3 1/2 would be 7 feet, and then 14 tiles. 12 plus 14 equals 26, and 26 times $3.00 is $78.00