Question

americans who are 65 years of age or older make up 13.1% of the total population. if there are 30.1 million americans in this age group, find the total u.s. population.
the total u.s. population is approximately \\(\square\\) million people.
(round to the nearest tenth of a million.)

Explanation:

Step1: Define the problem

Let \( x \) be the total U.S. population (in millions). We know that 13.1% of \( x \) is 30.1 million. So we can write the equation: \( 0.131x = 30.1 \) (since 13.1% is \( \frac{13.1}{100}=0.131 \)).

Step2: Solve for \( x \)

To find \( x \), we divide both sides of the equation by 0.131: \( x=\frac{30.1}{0.131} \)

Step3: Calculate the value

\( \frac{30.1}{0.131}\approx229.8 \) (rounded to the nearest tenth of a million)

Answer:

229.8