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# Answer to Question #3221 in Algebra for SUNFLOWER

Question #3221
Sam went shopping at a department store. He spent 1/5 of his money on a sofa set and $800 on a washing machine. Later, he spent 1/8 of his remaining amount on dining table. If the amount of money left was$100 more than half of the amount he had at first, how much did Sam have at first?
Let&#039;s denote the whole amount of money as X.
Thus 1/5X was sent on a sofa set,
the remaining amount is X - 1/5X - $800 = 4/5X -$800
(4/5X - $800)/8& was spent on dining table 4/5X -$800 - (4/5X - $800)/8 = 7/8* (4/5X -$800)
If the amount of money left was $100 more than half of the amount he had at first : 7/8* (4/5X -$800) - $100 = X/2, let&#039;s solve this equation for X. 7/10 X -$700 - $100 = 5X/10 2/10 X =$800
X = $4000 Answser: Sam had$4000 at first.

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