Question

The U.S census bureau reported that 9 out of every 20 joggers at female. On a trail there were 230 joggers on July 4. Approximately how many were female?

Answer 1

Answer:

Approximately 104 joggers are female

Step-by-step explanation:

The U.S census bureau reported that 9 out of every 20 joggers at female.

Let x be the number of females out of 230 joggers.

Rewrite it as

$\begin{array}{cc}\text{Female}&\text{All joggers}\\9&20\\x&230\end{array}$

Now we can write a proportion:

$\dfrac{9}{x}=\dfrac{20}{230}$

Cross multiply:

$20x=9\cdot 230\\ \\2x=9\cdot 23\ [\text{Divided by 10}]\\ \\x=\dfrac{9\cdot 23}{2}=\dfrac{207}{2}=103.5\approx 104$