Picture frames

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

Result

x =  131 inch

Solution:

a=16+38=1318=16.375 inch n=24  n2=(1−23)⋅ n=(1−23)⋅ 24=8  x=n2⋅ a=8⋅ 16.375=131=131  inch a = 16 + \dfrac{ 3 }{ 8 } = \dfrac{ 131 }{ 8 } = 16.375 \ inch \ \\ n = 24 \ \\ \ \\ n_{ 2 } = (1 - \dfrac{ 2 }{ 3 } ) \cdot \ n = (1 - \dfrac{ 2 }{ 3 } ) \cdot \ 24 = 8 \ \\ \ \\ x = n_{ 2 } \cdot \ a = 8 \cdot \ 16.375 = 131 = 131 \ \text { inch }

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