Chelsea is sewing handmade scarves for her sister's and friends. She has 4 and 5/6 yards of material and needs 7/8 of a yard of material for each scarf. How many scarves can she make with the existing material

Respuesta :

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

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