Question

a farmer uses 1/3 of his land to plant cassava 3/5 of the remaining land to plant Maize and the rest vegetables if vegetables cover an acre of 10 and area of 10 acres what is the total area of the framers land​

Answer 1

37.5 acres.

Explanation:

Fraction of his land where vegetables are grown

= 1 - 1/3 - 2/3 *3/5

(after taking away 1/3 we get 2/3 and the farmer uses 3/5 of this 2/3 to grow Maize.

= 1 - 1/3 - 6/15 LCD of 3 and 15= 15 so we write:

= 1 - 5/15 - 6/15

= 1 - (5+6)/16

= 1 - 11/15

= 4/15.

4 /15 is equivalent to 10 acres

so total area (= 1) = 10 / 4/15 Invert the 4/15 and multiply:

= 10 * 15/4

= 150/4

= 37.5 acres.