Question

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

Answer 1

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 `70/100`.

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

We can now solve for `j`:

`70/100 xx j = 294`

`color(red)(100)/color(blue)(70) xx 70/100 xx j = color(red)(100)/color(blue)(70) xx 294`

`cancel(color(red)(100))/cancel(color(blue)(70)) xx color(blue)(cancel(color(black)(70)))/color(red)(cancel(color(black)(100))) xx j = 29400/color(blue)(70)`

`j = 420`