Roll of wallpaper

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?

Correct answer:

n =  25

Step-by-step explanation:

$$\begin{gathered} a=3{\displaystyle \frac{1}{3}}=3+{\displaystyle \frac{1}{3}}={\displaystyle \frac{3\cdot 3+1}{3}}={\displaystyle \frac{10}{3}}\doteq 3.3333\text{ yd } \\ b={\displaystyle \frac{5}{6}}\doteq 0.8333\text{ yd } \\ w={\displaystyle \frac{1}{6}}\doteq 0.1667\text{ yd } \\ n=(a+b)\mathrm{/}w=(3.3333+0.8333)\mathrm{/}0.1667=25 \end{gathered}$$

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