SOLUTION: I am always pretty confuse on the Remainder and the Money Left . Isn't it the same ? Anybody could assist to explain how to do this question ? Billy had some money. He spent $260

Question 1187280: I am always pretty confuse on the Remainder and the Money Left . Isn't it the same ? Anybody could assist to explain how to do this question ?
Billy had some money. He spent $260 on a coat and 3/7 of the remainder on a
backpack. He had 1/5 of his money left. How much money did Billy have at
first?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Billy had some money. He spent $260 on a coat and 3/7 of the remainder on a
backpack. He had 1/5 of his money left. How much money did Billy have at
first?
------------------------
He had D dollars to start.
Then D - 260
Then 4/7 of D-260 after spending 3/7 = 4*(D-260)/7
And 4*(D-260)/7 = D/5
======================
4*(D60)/7 = D/5
20*(D-260)/7 = D
20*(D-260) = 7D
20D - 5200 = 7D
13D = 5200
D = $400
----------------------------
In this case, remainder and "money left" are the same. It can be written:
Billy had some money. He spent $260 on a coat and 3/7 of the money left on a
backpack.
He had 1/5 of his money left. How much money did Billy have at
first?
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