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 yards of paper for the other box. He must cut the paper 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:

$$\begin{gathered} a=3\frac{1}{3}=3+\frac{1}{3}=\frac{3\cdot 3+1}{3}=\frac{9+1}{3}=\frac{10}{3}=3\frac{1}{3}\doteq 3.3333\text{yd} \\ b=\frac{5}{6}\doteq 0.8333\text{yd} \\ w=\frac{1}{6}\doteq 0.1667\text{yd} \\ n=(a+b)/w=(\frac{10}{3}+\frac{5}{6})/\frac{1}{6}=25 \end{gathered}$$

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