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Question 1119049: James uses 1/3 of 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 by Theo(13342)   (Show Source):
You can put this solution on YOUR website! 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.
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