Question

"A farmer uses 1/2 of his land for maize, 1/5 for beans, 1/3 of the remainder for grazing, and the rest for horticultural farming. If he uses 10 acres for grazing, how much did he use for horticultural farming? Fill in the blank: The farmer used acres for horticultural farming."

Answer 1

The farmer uses 1/2 of his land for maize, 1/5 for beans, and 1/3 of the remainder (i.e., 3/10 of the total) for grazing. Given that the grazing land is 10 acres, the total amount of land is 30 acres. Subtracting the acres used for maize, beans, and grazing leaves 20 acres for horticultural farming.

Step-by-step explanation:

In this question, the farmer's total land can be considered as a whole or 1. This whole is divided into different parts for different purposes. First, the farmer uses 1/2 of his land for maize and 1/5 for beans. This leaves him with 1 - 1/2 - 1/5 = 3/10 of the land. Now, 1/3 of this remainder is used for grazing which we know is 10 acres. Therefore, 3/10 of the total land corresponds to 30 acres (as 1/3 of it is 10 acres). This means the remaining land for horticultural farming would be 30 acres - 10 acres (i.e., total remaining acres - grazing acres) which equals 20 acres.

Learn more about Fraction Math