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

`10(1)/(2)` acres per hour

Explanation:

Darcy harvests
`8(3)/(4)` acres of corn every
`(5)/(6)` of an hour.

So,

`8(3)/(4)` acres -
`(5)/(6)` of an hour

`x` acres - 1 hour

Write a proportion:

`(8(3)/(4))/(x)=((5)/(6))/(1)`

Cross multiply:

`(5)/(6)x=8(3)/(4)\\ \\(5)/(6)x=(35)/(4)\\ \\x=(35)/(4)\cdot (6)/(5)\\ \\x=(7)/(2)\cdot (3)/(1)\\ \\x=(21)/(2)\\ \\x=10(1)/(2)`