SOLUTION: A farmer uses 1/3 of his land for cattle, 3/8 for sheep and 1/6 for crops and the remaining 23 hectares for forestry. Find the total area of the farmer's land.

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Question 1055837: A farmer uses 1/3 of his land for cattle, 3/8 for sheep and 1/6 for crops and the remaining 23 hectares for forestry. Find the total area of the farmer's land.
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
Let L = the total area of the farmer's land
We can write L/3 + 3L/8 + L/6 + 23 = L since he uses the entire area
Solve for L:
8/24L + 9/24L + 4/24L + 23 = L
3/24L = 23
L/8 = 23
L = 184 hectares