Answer: There are 6 pieces of cloth are rectangles and 9 pieces of cloth are triangles.
Explanation:
Since we have given that
For every 5 pieces of cloth, 2 are rectangles
So, remaining piece will be of triangle so,
[tex]5-2=3[/tex]
3 are triangles.
Ratio of rectangles to triangles is 2:3.
Now, she needs 15 pieces of cloth to complete her scarf,
So, Number of rectangles is needed is given by
[tex]\frac{2}{5}\times 15\\\\=2\times 3\\\\=6[/tex]
Number of triangles is needed is given by
[tex]\frac{3}{5}\times 15\\\\=3\times 3\\\\=9[/tex]
Hence, there are 6 pieces of cloth are rectangles and 9 pieces of cloth are triangles.