A MOSAIC MUST BE 3 FEET TALL AND 5 FEET WIDE THE LARGER TILES ARE 6 INCHES TALL AND 12 INCHES WIDE HOW MANY TILES SHOULD FITS IN IT

simplest way to explain:

the mosaic is 3 ft by 5 ft or
36 inches by 60 inches
for a total area of 2160 square inches

each time covers 6x12 or 72 square inches
number of tiles = 2160/72 = 30 tiles

or

since the length is 60 inches, we can stand 10 tiles in the first row.
it is 36 inches high, and each tile is 12 inches, so we need 3 rows of 10 tiles or 30 tiles

or

we could lay the tiles on their sides, so we can only place 5 tiles in the bottom row,
but the mosaic is 36 inches high and each tile is 6 inches high, so we can use 6 rows.
number of tiles = 5x6 or 30 tiles

To figure out how many tiles should fit into the mosaic, we need to calculate the area of the mosaic and the area of a single tile, then divide the total area of the mosaic by the area of a single tile.

First, let's convert the dimensions of the mosaic to inches:
- Height of the mosaic: 3 feet = 36 inches (1 foot = 12 inches)
- Width of the mosaic: 5 feet = 60 inches (1 foot = 12 inches)

Next, let's find the area of a single tile:
- Height of the tile: 6 inches
- Width of the tile: 12 inches

To calculate the area of a single tile, we multiply its height by its width:
Area of a single tile = Height × Width = 6 inches × 12 inches = 72 square inches

Now, let's calculate the total area of the mosaic:
Total area of the mosaic = Height of the mosaic × Width of the mosaic = 36 inches × 60 inches = 2160 square inches

Finally, to determine the number of tiles that fit in the mosaic, we divide the total area of the mosaic by the area of a single tile:
Number of tiles = Total area of the mosaic ÷ Area of a single tile = 2160 square inches ÷ 72 square inches = 30 tiles

Therefore, you would need 30 tiles to cover the mosaic.