Question 1119049
let x = the total area of the land.


james uses 1/3 of his land for growing durians, 1/4 for bananas, 3/8 for guages, and the remaining 9 hectares for mangoes.


x is therefore equal to 1/3 * x + 1/4 * x + 3/8 * x + 9.


multiply both sides of this equation by 24 to get:


24 * x = 8 * x + 6 * x + 9 * x + 216


combine like terms to get:


24 * x = 23 * x + 216


subtract 23 * x from both sides of the equation to get:


x = 216 hectares.


total area is 216 hectares.
1/3 grows durians = 1/3 * 216 = 72 hectares.
1/4 grows bananas = 1/4 * 216 = 54 hectares.
3/8 grows guaves = 3/8 * 216 = 81 hectares.
remaining = 9 hectares.


72 + 54 + 81 + 9 = 216 hectares.


solution looks good.


solution is the total area of his land is 216 hectares.