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

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

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Answer 1 · 2017-01-17T23:58:19

Jorge has 420 songs.

Explanation:

We can rewrite this problem in mathematical terms as:

$70 %$ $70%$ of $j = 294$ $j = 294$

Where $j$ $j$ 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 $\frac{70}{100}$ $70/100$ .

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

We can now solve for $j$ $j$ :

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

$\frac{100}{70} \times \frac{70}{100} \times j = \frac{100}{70} \times 294$ $color(red)(100)/color(blue)(70) xx 70/100 xx j = color(red)(100)/color(blue)(70) xx 294$

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

$j = 420$

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

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