- Identify the number of tiles required for one tray: \(5\) white and \(4\) black.
- Apply the scaling factor of \(2\) to both quantities as instructed.
- Perform the multiplication for white tiles: \(5 \times 2 = 10\).
- Perform the multiplication for black tiles: \(4 \times 2 = 8\).
- Final Answer: \(\boxed{10 \text{ white tiles, } 8 \text{ black tiles}}\).
Explanation
- Problem Analysis
The problem asks us to calculate the number of white and black tiles required to make two trays. We are given the requirements for a single tray, which are \(5\) white tiles and \(4\) black tiles. To find the quantities for two trays, we must multiply each of the original quantities by \(2\).
- Calculating White Tiles
For white tiles, since one tray requires \(5\) white tiles, two trays will require:
\[5 \times 2 = 10\]
So, Amalia needs \(10\) white tiles to make two trays.
- Calculating Black Tiles
For black tiles, since one tray requires \(4\) black tiles, two trays will require:
\[4 \times 2 = 8\]
So, Amalia needs \(8\) black tiles to make two trays.
- Conclusion
By doubling the required number of tiles for a single tray, we have determined that making two trays requires a total of \(10\) white tiles and \(8\) black tiles. Thus, the final answer is \(10\) white tiles and \(8\) black tiles.
Examples
This simple multiplication task is a fundamental application of scaling in real life. Whether you are baking for a party and need to double a recipe, or buying supplies for a DIY project, being able to calculate scaled quantities is essential. For example, if a specific pattern for a mosaic design uses 10 blue and 15 yellow glass pieces, doubling the production to create two identical mosaic frames would simply require you to double each individual component count to ensure the design remains identical.