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Sagot :
Answer: There are atmost 4 picture frames can be made.
Step-by-step explanation:
Since we have given that
Length of board is given by
[tex]10\frac{1}{12}\text{ feet}[/tex]
Length of board is scratched and cannot be used is given by
[tex]2\frac{3}{8}\text{ feet}[/tex]
Rest of board will be used to make small picture frames is given by
[tex]\frac{121}{12}-\frac{19}{8}\\\\=\frac{242-57}{24}\\\\=\frac{185}{24}\text{ feet}[/tex]
Length of board needed for each picture frame is given by
[tex]1\frac{2}{3}=\frac{5}{3}\text{ feet}[/tex]
So, Number of complete picture frames can be made is given by
[tex]\frac{\frac{185}{24}}{\frac{5}{3}}\\\\=\frac{185\times 3}{24\times 5}\\\\=\frac{37}{8}\\\\=4.65[/tex]
∴ There are atmost 4 picture frames can be made.
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