SOLUTION: 1/4th of the elephants are in woods and double of the square root of total numbers is at the mountain bed.the remaining 15 are at the river bank.Find the total number of elephants.
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Question 480092: 1/4th of the elephants are in woods and double of the square root of total numbers is at the mountain bed.the remaining 15 are at the river bank.Find the total number of elephants.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
1/4th of the elephants are in woods and double of the square root of total numbers is at the mountain bed.the remaining 15 are at the river bank.Find the total number of elephants.
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Let the total number of elephants be "x";
Woods: (1/4)x
Mountain bed: 2sqrt(x)
Other: 15
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Equation:
(1/4)x + 2sqrt(x) + 15 = x
x + 8sqrt(x) + 60 = 4x
3x - 8sqrt(x) - 60 = 0
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Let sqrt(x) = w
Substitute to get:
3w^2 -8w -60 = 0
Factor:
(3w+10)(w-6) = 0
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Positive solution:
w = 6
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Substitute:
sqrt(x) = w = 6
x = 36 elephants
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Cheers,
Stan H.
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