# If 294 is 70% of the songs Jorge has on his phone. How many total songs does Jorge have on his phone?

Jan 17, 2017

Jorge has 420 songs.

#### Explanation:

We can rewrite this problem in mathematical terms as:

70%  of $j = 294$

Where $j$ is the number of songs Jorge has on his phone.

"Percent" or "%" means "out of 100" or "per 100", Therefore 70% can be written as $\frac{70}{100}$.

When dealing with percents the word "of" means "times" or "to multiply".

We can now solve for $j$:

$\frac{70}{100} \times j = 294$

$\frac{\textcolor{red}{100}}{\textcolor{b l u e}{70}} \times \frac{70}{100} \times j = \frac{\textcolor{red}{100}}{\textcolor{b l u e}{70}} \times 294$

$\frac{\cancel{\textcolor{red}{100}}}{\cancel{\textcolor{b l u e}{70}}} \times \frac{\textcolor{b l u e}{\cancel{\textcolor{b l a c k}{70}}}}{\textcolor{red}{\cancel{\textcolor{b l a c k}{100}}}} \times j = \frac{29400}{\textcolor{b l u e}{70}}$

$j = 420$