Question

a group of farmers planned to harvest 80 acres of wheat per day to finish their work on schedule. right before the work started, they received a new piece of machinery that helped them to harvest 10 more acres per day than originally planned. on the last day before their deadline, they only had to harvest 30 acres due to their increased productivity. how many acres of wheat did the group of farmers have to harvest?

Answer 1

Answer: 480 acres

Step-by-step explanation:

Let's say y is the amount of acres total.

x is the amount of days taken to plow.

Meaning, that 80x = y.

But y also equals 90(x-1)+30. They plowed 90 acres a day for one less day, and then on the last day, they only had to plow 30 acres.

Substitute out the y. 80x = 90x - 90 + 30

Simplify and solve: 80x=90x-60, 10x=60, x=10

Don't forget to multiply x by 80 for the total number of acres plowed.