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Extra amount saved = 3/13 * $585 = $135

Amount saved in Aug = $135 * 2 = $270

Amount saved in Sept = $585 – $135 – $270 = $180

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Since $585 is 30% more than what she would have saved on her own, 

130% – $585

30% – $135

$135 is the amount her mother gave her. therefore she saved $135*2=$270.

So she would have saved $585 – $270 – $135 = $180 in September.

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