Question

An art student uses a roll of wallpaper to decorate two gift boxes. The student will use 3 1 3 yards of paper for one box and 5 6 yard of paper for the other box. The paper must be cut into pieces that are 1 6 yard long. How many pieces will the student cut to use for the gift boxes?

Answer 1

25 pieces

Explanation:

Given

`Box_1 = 3(1)/(3)`

`Box_2 = (5)/(6)`

`Pieces = (1)/(6)` yard

Required

Determine the number of pieces

First, we need to determine the total yards of paper

`Total = Box_1 + Box_2`

`Total = 3(1)/(3) + (5)/(6)`

`Total = (10)/(3) + (5)/(6)`

`Total = (20 + 5)/(6)`

`Total = (25)/(6)`

Divide by the size of the pieces to get the number of pieces

`Number = Total/Pieces`

`Number = (25)/(6) / (1)/(6)`

`Number = (25)/(6) * (6)/(1)`

`Number = (25)/(1) * (1)/(1)`

`Number = 25`