Question

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?

Answer 1

`121 1/2 " acres"`

Explanation:

Let total amount of land be`L_t`
Let land cultivated be `L_c`
Let land for soy beans be `L_s`

so `L_c = 3/5 L_t` ..................................(1)
so `L_s = 3/4 L_c`..................................(2)

Substitute (1) into (2) giving:

`L_s =3/4 times 3/5 times L_t` ..............(3)

Given that `L_s = 270 " acres"`
Substitution into (3) gives:

`270 " acres" = 3/4 times 3/5 times L_t " acres"`

Thus
`L_t = 270 times 9/20`

`Lt = 121 1/2` acres

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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