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?

1 hammock = 100 fish

= 100(30/20 coconuts
= 100(30/12)(50/20 bananas
= 625 bananas

to save money for a video game, you put one dollar in an envelope. each day for 5 days you double the number of dollars in the envelope from the day before. how much have you saved after 5 days

To find out how many bananas equal 1 hammock, we need to analyze the given exchange rates step by step.

We know that:
- 50 bananas = 20 coconuts
- 30 coconuts = 12 fish
- 100 fish = 1 hammock

Let's start by determining the value of one fish in terms of bananas:
From the second exchange rate, we know that 30 coconuts = 12 fish.

To find the value of one fish in terms of bananas, we divide both sides of the equation by 30:
(30 coconuts / 30) = (12 fish / 30)

Simplifying, we get:
1 coconut = 12/30 fish
1 coconut = 2/5 fish

Now, let's determine the value of one coconut in terms of bananas:
From the first exchange rate, we know that 50 bananas = 20 coconuts.

To find the value of one coconut in terms of bananas, we divide both sides of the equation by 20:
(50 bananas / 20) = (20 coconuts / 20)

Simplifying, we get:
1 banana = 50/20 coconuts
1 banana = 5/2 coconuts

Now, let's combine the two steps to find the value of one fish in terms of bananas:
Since 1 coconut = 5/2 bananas and 1 coconut = 2/5 fish,
we can equate these two values and solve for the value of one fish in terms of bananas:

5/2 bananas = 2/5 fish

To solve this equation, we need to multiply both sides by the reciprocal of 2/5, which is 5/2:
5/2 * (5/2 bananas) = 2/5 * (5/2 fish)

Simplifying, we get:
(25/4) bananas = 1 fish

Now we know that 1 fish is equal to 25/4 bananas.

Finally, let's calculate the value of 1 hammock in terms of bananas:
From the third exchange rate, we know that 100 fish = 1 hammock.

To find the value of 1 hammock in terms of bananas, we need to multiply both sides by (25/4) bananas, which is the value we found for 1 fish in terms of bananas:

(100 fish) * (25/4 bananas) = (1 hammock) * (25/4 bananas)

Simplifying, we get:
(2500/4) bananas = 1 hammock

Therefore, 1 hammock is equal to 2500/4 bananas.

In decimal form, that is:
1 hammock ≈ 625 bananas

To find out how many bananas equal 1 hammock, we can use the given exchange rates and convert step by step.

We know that 50 bananas equals 20 coconuts. So, 1 banana is equivalent to (20 coconuts / 50 bananas) = 2/5 coconuts.

Next, we are told that 30 coconuts equal 12 fish. Therefore, 1 coconut is equivalent to (12 fish / 30 coconuts) = 2/5 fish.

Lastly, we know that 100 fish equal 1 hammock. So, 1 fish is equivalent to (1 hammock / 100 fish) = 1/100 hammocks.

Now, to find out how many bananas equal 1 hammock, we need to convert the 1 hammock from fish to coconuts to bananas. We can do this by combining the conversion rates:

1 hammock = (1 fish * (2/5 coconuts)) * (2/5 bananas)
= (1/100 hammocks * 2/5 coconuts) * (2/5 bananas)
= (1/100 * 2/5 * 2/5) hammocks * coconuts * bananas

Simplifying the calculation, we find:

1 hammock = 4/12500 hammocks * coconuts * bananas

So, 1 hammock is equivalent to 4/12500 hammocks, coconuts, and bananas.

Therefore, 1 hammock equals 4/12500 bananas.