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

Answer:

25 pieces

Step-by-step explanation:

Given

$Box_1 = 3\frac{1}{3}$

$Box_2 = \frac{5}{6}$

$Pieces = \frac{1}{6}$ yard

Required

Determine the number of pieces

First, we need to determine the total yards of paper

$Total = Box_1 + Box_2$

$Total = 3\frac{1}{3} + \frac{5}{6}$

$Total = \frac{10}{3} + \frac{5}{6}$

$Total = \frac{20 + 5}{6}$

$Total = \frac{25}{6}$

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

$Number = Total/Pieces$

$Number = \frac{25}{6} / \frac{1}{6}$

$Number = \frac{25}{6} * \frac{6}{1}$

$Number = \frac{25}{1} * \frac{1}{1}$

$Number = 25$