Question

amalia wants to know how many black and white tiles she needs to make different nu of trays.
enter the number of tiles needed to make
3 trays.
white tiles black tiles
5 4
10 8
?
(×3 on left of white tiles column, ×3 on right of black tiles column)

Explanation:

Step1: Analyze the pattern for Black Tiles

Looking at the table, the number of black tiles for the first row is 4, and for the second row (which seems to be for 2 trays) is 8. We can see that the number of black tiles is increasing by a factor. Let's check the multiplier. From 1 tray (4 tiles) to 2 trays (8 tiles), it's multiplied by 2. Now, for 3 trays, we can assume the pattern is multiplying the number of black tiles for 1 tray by 3.

Step2: Calculate the number of black tiles for 3 trays

The number of black tiles for 1 tray is 4. To find the number for 3 trays, we multiply 4 by 3. So, \( 4\times3 = 12 \). Also, we can check the white tiles pattern: 5 for 1 tray, 10 for 2 trays (5×2), so for 3 trays it would be 5×3 = 15, which is consistent with the table's structure. So the black tiles for 3 trays should be 4×3 = 12.

Answer:

12