SOLUTION: Nathan had some money. He spent 1/8 of it on a T-shirt and 3/4 of the remainder on a pair of shoes. After that, his parents gave him $715. The ratio of the total amount o

Question 1184564: Nathan had some money.
He spent 1/8 of it on a T-shirt and 3/4 of the
remainder on a pair of shoes.
After that, his parents gave him $715.
The ratio of the total amount of money he had
left at the end to the amount of money he
had at first was 9:4. How much did Nathan
have at first?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39616) (Show Source): You can put this solution on YOUR website!
Try breaking the process into parts.

---------------------------------------
Nathan had some money.
He spent 1/8 of it on a T-shirt and 3/4 of the
remainder on a pair of shoes.
----------------------------------------
After that, his parents gave him $715.
----------------------------------------
The ratio of the total amount of money he had
left at the end to the amount of money he
had at first was 9:4.
---------------------------------------
How much did Nathan
have at first?
--------------------------------------

You can use a variable for the amount of money he started with.
.
.
.
.

( YES )
Answer by MathTherapy(10551) (Show Source): You can put this solution on YOUR website!

Nathan had some money. He spent 1/8 of it on a T-shirt and 3/4 of the remainder on a pair of shoes. After that, his parents gave him $715. The ratio of the total amount of money he had left at the end to the amount of money he had at first was 9:4. How much did Nathan have at first?

Let amount he started with be A
After spending , he was left with
After spending of remainder on shoes, he had remaining
After receiving $715 from his parents, he then had:
With , we finally have:
7A + 8(2,860) = 72A ------ Multiplying by LCD, 8
8(2,860) = 72A - 7A
8(2,860) = 65A

Initial amount he had: $352
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