SOLUTION: Hi sam had some money. He used 2/3 of it to buy a watch and 3/4 of the remainder on a wallet.if the watch was 65 dollars more than the wallet how much does he have left how

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Question 1041195: Hi
sam had some money. He used 2/3 of it to buy a watch and 3/4 of the remainder on a wallet.if the watch was 65 dollars more than the wallet
how much does he have left
how much did he have at first
thanks
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
sam had some money.
He used 2/3 of it to buy a watch and 3/4 of the remainder on a wallet.
if the watch was 65 dollars more than the wallet
how much does he have left
:
let a = the original amt he had.
:
Find how much he had originally first
Watch amt - wallet amt = $65 (remainder after the watch purchase is 1/3)
2%2F3a - 3%2F4*1%2F3a = 65
multiply the fractions
2%2F3a - 3%2F12a = 65
reduce the fraction
2%2F3a - 1%2F4a = 65
multiply by 12 cancel the denominators
4(2a) - 3a = 12(65)
8a - a = 780
5a = 780
a = 780/5
a = $156, his original amt
:
Find the cost of each item
2%2F3*156 = $104 for the watch
104 - 65 = $39 for the wallet ($65 less than the watch)
:
Find how much he had left
156 - 104 - 39 = $13 left