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

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Question 670993: An island has no currency; it instead has the following exchange rate:
50 bananas = 20 coconuts
30 coconuts = 12 fish
100 fish = 1 hammock
How many bananas equal 1 hammock?


Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
1 banana = 2/5 of a coconut
2/5 of a coconut = (2/5)*(12/30) of a fish
= 24/150 = 12/75 of a fish
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12/75 of a fish = (12/75)*( 1/100 ) of a hammock
= 3/1875 = 1/625 of a hammock
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If 1 banana = 1/625 of a hammock, the
625 bananas = 1 hammock
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check:
625 bananas = (2/5)*625 = 250 coconuts
250 coconuts = (2/5)*250 = 100 fish
100 fish = 1 hammock
OK