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Ratio problems that I am struggling with

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7 out of every 500 Americans are aged 13-17 years generation are vegetarian

Thus the ratio of the vegetarian is 7 : 500

In a group of 350,

Let x be the number of people who are vegetarian

So, the ratio out of 350 who are vegetarian are : x : 350

SInce the ratio is same so:


\begin{gathered} 7\text{ : 500=x:250} \\ (7)/(500)=(x)/(250) \\ \text{ Simplify for x,} \\ x=(7)/(500)*250 \\ x=(7)/(2) \\ x=3.5 \\ x\approx4 \end{gathered}

So, the number of people who are vegetarian out of 350 people is 4 people

User TheDiveO
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