[tex]7\frac{13}{21}[/tex] km thread will be needed for 8 boxes of shirts
Step-by-step explanation:
The proportion will be used to find the measurement of thread
Given
It takes 3 1/3 kilometers of thread to make 3 1/2 boxes of shirts.
Now,
As there are more boxes, more thread will be needed. So it is a direct proportion
So,
[tex]Km:box::Km:box\\3\frac{1}{3}: 3\frac{1}{2}::x:8\\\frac{10}{3}:\frac{7}{2}::x:8\\\frac{\frac{10}{3}}{\frac{7}{2}} = \frac{x}{8}\\\frac{10}{3} * \frac{2}{7} = \frac{x}{8}\\\frac{20}{21} = \frac{x}{8}\\x = \frac{20}{21} * 8\\x = \frac{160}{21}\\x = 7\frac{13}{21}[/tex]
Hence,
[tex]7\frac{13}{21}[/tex] km thread will be needed for 8 boxes of shirts
Keywords: Unit rate, conversion
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