Question

Darcy harvests 8 3/4 acres of corn every 5/6 of an hour. Darcy harvests corn at a constant rate.
How many acres does she harvests per hour?

Answer 1

Answer:

$10\frac{1}{2}$ acres per hour

Step-by-step explanation:

Darcy harvests $8\frac{3}{4}$ acres of corn every $\frac{5}{6}$ of an hour.

So,

$8\frac{3}{4}$ acres - $\frac{5}{6}$ of an hour

$x$ acres - 1 hour

Write a proportion:

$\dfrac{8\frac{3}{4}}{x}=\dfrac{\frac{5}{6}}{1}$

Cross multiply:

$\dfrac{5}{6}x=8\dfrac{3}{4}\\ \\\dfrac{5}{6}x=\dfrac{35}{4}\\ \\x=\dfrac{35}{4}\cdot \dfrac{6}{5}\\ \\x=\dfrac{7}{2}\cdot \dfrac{3}{1}\\ \\x=\dfrac{21}{2}\\ \\x=10\dfrac{1}{2}$