Teeka made a design using tiles. For every 2 square tiles she used, she used 8 triangles. When she was finished, Teeka had used 48 square tiles. How many triangles did she use?
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Teeka made a design using tiles. For every 2 square tiles she used, she used 8 triangles. When she was finished, Teeka had used 48 square tiles. How many triangles did she use?
96
182
240
none of them
The ratio of square tiles to triangles is 2:8, which simplifies to 1:4. If she used 48 square tiles, she used 48 * 4 = 192 triangles. Since 192 is not an option, 'none of them' is correct.
To solve this problem, let's assume that Teeka used "x" pairs of square tiles.
We know that for every 2 square tiles, she used 8 triangles. Therefore, the number of triangles used is directly proportional to the number of pairs of square tiles used.
We can set up the following proportion:
$\frac{\text{Number of triangles}}{\text{Number of pairs of square tiles}} = \frac{8}{2}$
Simplifying the proportion, we get:
$\frac{\text{Number of triangles}}{x} = 4$
Cross-multiplying, we get:
Number of triangles = 4x
Given that Teeka used 48 square tiles, we can substitute this value into the equation to find the number of triangles:
Number of triangles = 4 * 48 = 192
Therefore, Teeka used 192 triangles.
Since none of the given options match the correct answer, it seems that the correct answer is not provided.