# A farmer has 3/5 of his land under cultivation, 3/4 of which is in soy beans. How much land does the farmer have if he has 270 acres of soy beans?

##### 1 Answer

Oct 30, 2015

#### Explanation:

Let total amount of land be

Let land cultivated be

Let land for soy beans be

so

so

Substitute (1) into (2) giving:

Given that

Substitution into (3) gives:

Thus

Tip: question given in fractions so answer given in fractions.

Do not forget the units. That is a bad and very common mistake!

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