For this case, the first thing we must do is define variables.
We have then:
x: amount of acres of corn harvested
y: number of hours
The corn rate harvested per hour is given by:
[tex] r = \frac{x}{y} [/tex]
Substituting values we have:
[tex] r = \frac{8+\frac{3}{4}}{\frac{5}{6}} [/tex]
Rewriting we have:
[tex] r = \frac{\frac{35}{4}}{\frac{5}{6}} [/tex]
[tex] r = \frac{210}{20} [/tex]
[tex] r = \frac{21}{2} [/tex]
[tex] r = 10.5 \frac{acres}{hour} [/tex]
Answer:
The acre rate of corn harvested per hour is:
[tex] r = 10.5 \frac{acres}{hour} [/tex]