Answer
Find out the how much did Sheila have at first .
To proof
Let us assume that the original amount of money be x .
As given
Sheila went shopping and spent $120 on a coat.
Than
money sheila has = x - 120
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Than the equation becomes
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L.C.M of (5,3) = 15
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solving
600 +13x = 15x
600 = 15x - 13x
600 = 2x
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x = $300
The shelia have money be $300 .
Hence proved