Answer:
[tex]4\frac{1}{2}[/tex] days
Step-by-step explanation:
Farmer Brown can harvest corn [tex]2\frac{1}{3}[/tex] or [tex](\frac{7}{3})[/tex] acres in = 1 day
He can harvest 1 acre corn in = [tex]\frac{1}{\frac{7}{3}}[/tex] days
It will take the number of days to harvest [tex]10\frac{1}{2}[/tex] or [tex](\frac{21}{2})[/tex] acres of corn
= [tex]\frac{1}{\frac{7}{3}}[/tex] × [tex]\frac{21}{2}[/tex]
= [tex]\frac{3}{7}[/tex] × [tex]\frac{21}{2}[/tex]
= [tex]\frac{9}{2}[/tex]
= [tex]4\frac{1}{2}[/tex] days
It will take Farmer Brown [tex]4\frac{1}{2}[/tex] days to harvest [tex]10\frac{1}{2}[/tex] of corn