Answer: 5
Step-by-step explanation:
Given : Total Material = 4 and [tex]\dfrac{5}{6}[/tex] yards
[tex]=4+\dfrac{5}{6}=\dfrac{4\times6+5}{6}=\dfrac{29}{6}[/tex] yards
Material required for each scarf = [tex]\dfrac{7}{8}[/tex]
Number of scarfs she make with the existing material
= Total Material ÷Material required for each scarf
[tex]\dfrac{29}{6}\div\dfrac{7}{8}\\\\=\dfrac{29}{6}\times\dfrac{8}{7}\\\\=\dfrac{116}{21}\\\\=5\dfrac{11}{21}\approx5[/tex]
Hence, the number of scarves can she make with the existing material = 5
