Question

According to the graph above, if there are $6,000$ registered voters aged $60$ and over in Washington County, how many registered voters are under the age of $30$?

• A. $1,000$
• B. $2,000$
• C. $3,000$
• D. $4,000$
• E. $5,000$

Answer 1

The correct option is E $5,000$

Let the total number of people is $x$.

$60$ and over: $30\%$ of $x$

$20-29$: $20\%$ of $x$

$50-59$: $12\%$ of $x$

$40-49$: $15\%$ of $x$

$30-39$: $18\%$ of $x$

$18-19$: $5\%$ of $x$

There are $6,000$ registered voters aged $60$ and over in Washington Country

.$\Rightarrow \left(\frac{30}{100}\right)\times x=6000$

$\Rightarrow x=20,000$

There are $20,000$ people in washington country.

Now people registered under age $30$ are $(20+5)\%$ of people.

$\Rightarrow \left(\frac{25}{100}\right)\times 20,000=5000$