Question

How many people are on the island that has 4 turtles?

Answer 1

There are 3/400 people on the island.

Given:

There are 4 turtles on the island.

To find:

The number of people on the island.

Solution:

Number of turtles = 4

$30 turtles =1 anchor\\\\1 turtle= \frac{1}{30}\\\\4 turtles = 4\times \frac{1}{30} anchors= \frac{4}{30} anchors\\\\1 monkey = 100 anchors\\\\1 anchor=\frac{1}{100} monkey\\\\ \frac{4}{30} anchors= \frac{4}{30} anchors\times \frac{1}{100} =\frac{4}{3000} monkeys$

$1 monkey = 30 palm trees\\\\ \frac{4}{3000} monkeys=\frac{4}{3000}\times 30 \text{palm trees}=\frac{4}{100}\text{palm trees}\\\\12 pineapples = 1 \text{palm trees}\\\\\frac{4}{100}\text{palm trees}=12\times \frac{4}{100}pineapples=\frac{48}{100} pineapples$

$20 ducks = 32 pineapples\\\\1 pineapple=\frac{20}{32} ducks\\\\\frac{48}{100} pineapples=\frac{20}{32} \times\frac{48}{100} ducks=\frac{960}{3200} ducks\\\\40 ducks = 0.5 lizards\\\\1 duck = \frac{0.5}{40} lizards$

$\frac{960}{3200} ducks= \frac{0.5}{40} \times\frac{960}{3200} lizards=\frac{480}{128,000}lizards\\\\1 lizard = 4 \text{foot prints}\frac{480}{128,000}lizards=4\times \frac{480}{128,000}\text{foot prints}=\frac{1920}{128,000} \text{foot prints}\\\\1 foot print = 1eye$

$\frac{1920}{128,000} \text{foot prints}=1\times \frac{1920}{128,000} eye= \frac{1920}{128,000} eye\\\\1 hand = 1 eye\\\\ \frac{1920}{128,000} eye=1\times \frac{1920}{128,000} hand= \frac{1920}{128,000} hands\\\\1 person = 2 hands$

$1 hand =\frac{1}{2} persons\\\\\frac{1920}{128,000} hands=\frac{1}{2}\times \frac{1920}{128,000} persons=\frac{960}{128,000} persons\\\\=\frac{3}{400} persons$

There are 3/400 people on the island.

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