There are 162 people choose the monkey as their faviorate.
There are 134 people choose the penguin as their faviorate
A ratio is an ordered pair of numbers written in fraction form as a/b
Proportion is an equation where ratio is set equal to each other.
Proportion can be written as [tex]\frac{a}{b} =\frac{x}{y}[/tex]
Given that the survey of 70 zoo visitors asked to name their faviorite animal exhibit
bears. 6
elephants. 17
monkeys. 21
penguins. 13
snakes. 13
Out of 70 visitors, 21 chose monkeys
Suppose , there are 540 visits the zoo,
Let x be the number of visitors whose faviorate animal is monkey
Make a proportion
[tex]\frac{monkey}{visitors} =\frac{monkey}{visitors}\\ \\\frac{21}{70}=\frac{x}{540}\\21 \cdot 540=70x\\[/tex]
Divide both sides by 70
[tex]x=\frac{21\cdot 540}{70} \\x=162[/tex]
There are 162 people choose the monkey exhibit as their faviorate.
Suppose 720 visits , Let y be the number of people choose the penguin as faviorite
Out of 70 visitors, 13 chose monkeys
Make a proportion
[tex]\frac{13}{70}=\frac{y}{720} \\ \\13 \cdot 720=70y[/tex]
Divide both sides by 70
[tex]y=\frac{13\cdot 720}{70} \\y=134[/tex]
There are 134 people choose the penguin
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