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An art student uses a roll of wallpaper to decorate two gift boxes. The student will use 1 1 4 yards of paper for one box and 7 8 yard of paper for the other box. The paper must be cut into pieces that are 1 8 yard long. How many pieces will the student cut to use for the gift boxes?

Respuesta :

Answer:

17 pieces

Step-by-step explanation:

The student use [tex]1\dfrac{1}{4}[/tex] yards of paper for one box and [tex]\dfrac{7}{8}[/tex] yard of paper for the other box.

Total no of rolls required is the sum of  [tex]1\dfrac{1}{4}[/tex] yards and [tex]\dfrac{7}{8}[/tex] yard. So,

[tex]S=1\dfrac{1}{4}+\dfrac{7}{8}\\\\=\dfrac{5}{4}+\dfrac{7}{8}\\\\=\dfrac{17}{8}[/tex]

Let there are x no of pieces will the student cut to use for the gift boxes. It can be calculated as :

[tex]x=\dfrac{\dfrac{17}{8}}{\dfrac{1}{8}}\\\\=17[/tex]

Hence, the student will cut 17 pieces to use the gift boxes.