Picture frames

Destiny has to make 24 picture frames. Each frame uses 16 3/8 wood trim. she completed 2/3 on the first day. How many inches of wood trim is needed to complete the remaining frames on the second day?

Correct answer:

x =  131 inch

Step-by-step explanation:

$$\begin{gathered} a=16\frac{3}{8}=16+\frac{3}{8}=\frac{16\cdot 8+3}{8}=\frac{128+3}{8}=\frac{131}{8}=16.375\text{inch} \\ n=24 \\ r=1-\frac{2}{3}=\frac{1\cdot 3}{3}-\frac{2}{3}=\frac{3}{3}-\frac{2}{3}=\frac{3-2}{3}=\frac{1}{3}\doteq 0.3333 \\ {n}_2=r\cdot n=\frac{1}{3}\cdot 24=\frac{1\cdot 24}{3}=\frac{24}{3}=8 \\ x=n_2\cdot a=8\cdot 16.375=131\text{inch} \end{gathered}$$

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