Question

James uses 1/3 0f his land for growing durians, 1/4
for bananas, 3/8 for guavas and the
remaining 9 hectares for mangoes. What is the total area of his land?​

Answer 1

Let the total piece of land that he has be x hectares,

According to question, x/3 hectare land is used for durians, x/4 hectare for bananas, 3x/8 hectare for guavas and 9 hectares for mangoes,

Therefore, x(total land area) = x/3 + x/4 + 3x/8 + 9, taking x common,

1 = 1/3 + 1/4 + 3/8 + 9/x,

1 - (1/3 + 1/4 + 3/8) = 9/x,

1 - ((8 + 6 + 9)/24) = 9/x,

1 - (23/24) = 9/x,

1/24 = 9/x or x = 216 hectares

Answer 2

Step-by-step explanation:

f = 24/24 - 8/24 - 6/24 - 9/24, finding a common denominator 24. So, 9 hectares represents 1/24 of the land. Therefore, the total land area is (1/24)A = 9, or A = (24)(9) = 216 hectares.