SOLUTION: An island has no currency; it instead has the following exchange rate: 50 bananas = 20 coconuts, 30 coconuts = 12 fish, and 100 fish = 1 hammock How many bananas equal one hammoc

Question 252170: An island has no currency; it instead has the following exchange rate:
50 bananas = 20 coconuts, 30 coconuts = 12 fish, and 100 fish = 1 hammock
How many bananas equal one hammock?
A. 250 B. 625 C. 875 D. 1200 E. 1350
Found 2 solutions by palanisamy, drk:
Answer by palanisamy(496) (Show Source): You can put this solution on YOUR website!
Given,
50 bananas = 20 coconuts
1 coconut = 50/20 bananas
1 coconut = 5/2 bananas ...(1)
Next, 30 coconuts = 12 fish
1 fish = 30/12 coconuts
1 fish = 5/2 coconuts ...(2)
Now, 1 hammock = 100 fish
1 hammock = 100 x (5/2) coconuts
1 hammock = 100 x(5/2)(5/2) bananas
1 hammock = 625 bananas
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
This question is about proportions. Let B = banana, C = coconut, F = fish and H = hammock.
50B = 20C ; 30C = 12F. The least common multiple of 20 and 30 is 60. So,
150B = 60C ; 60C = 24F. More succinctly, 150B = 24F.
Now, 24F * 4 1/6 = 100F, so
150(4 1/6)B = 625 B.
So, it will take 625 bananas, or (B)
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