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