Question

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?

Answer 1

17 pieces

Explanation:

The student use
`1(1)/(4)` yards of paper for one box and
`(7)/(8)` yard of paper for the other box.

Total no of rolls required is the sum of
`1(1)/(4)` yards and
`(7)/(8)` yard. So,

`S=1(1)/(4)+(7)/(8)\\\\=(5)/(4)+(7)/(8)\\\\=(17)/(8)`

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

`x=((17)/(8))/((1)/(8))\\\\=17`

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