Question

Quincy is using 320 pieces of stone tile to make red white and blue mosaic. If 20% of the pieces are blue and 35% are white how many pieces are red?

Answer 1

To determine the number of red tiles in Quincy's mosaic project, the percentage of blue and white tiles were converted to actual numbers and subtracted from the total. This calculation revealed that there are 144 red tiles.

Step-by-step explanation:

Quincy is using 320 pieces of stone tile to make a mosaic.

It is given that 20% of the pieces are blue, and 35% are white. To find out how many tiles are red, we start by calculating the number of blue and white tiles:

• Blue tiles: 20% of 320 = (20/100) * 320 = 64 tiles
• White tiles: 35% of 320 = (35/100) * 320 = 112 tiles

Adding the blue and white tiles together gives us 64 + 112 = 176 tiles.

Since the total number of tiles is 320, the number of red tiles will be the remaining tiles after subtracting the blue and white tiles:

Red tiles = Total tiles - (Blue tiles + White tiles) = 320 - 176 = 144 red tiles.

Therefore, 144 pieces of stone tile are red in Quincy's mosaic project.

Answer 2

100% = 320
20% = Blue tiles
35% = White Tiles
100% - 55% = Red Tiles = 45%
45% of 320
320 x 0.45 = 144 Red tiles