SOLUTION: A farmer has 3/5 of his land under cultivation. He grows soybeans on 3/4 of that land. If he has 270 acres of soybeans how much land does he have under cultivation?

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Question 949155: A farmer has 3/5 of his land under cultivation. He grows soybeans on 3/4 of that land. If he has 270 acres of soybeans how much land does he have under cultivation?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A farmer has 3/5 of his land under cultivation.
He grows soybeans on 3/4 of that land. If he has 270 acres of soybeans
how much land does he have under cultivation?
:
Find what fraction of the land is in soybeans
3%2F4 * 3%2F5 = 9%2F20
let t = total amt of land he has
9%2F20t = 270
t = 270 * 20%2F9
t = 600 total acres
"How much land does he have under cultivation?"
3%2F5 * 600 = 360 acres
:
;
Check this " He grows soybeans on 3/4 of that land."
3%2F4 * 360 = 270