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

1 Answer
smendyka
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 #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#

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