SOLUTION: Sam spends $10 more than half of his money. If this amount of money is the same as $60 more than one-seventh of his money, how much money did Sam have to begin with?

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Question 471960: Sam spends $10 more than half of his money. If this amount of money is the same as $60 more than one-seventh of his money, how much money did Sam have to begin with?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Sam spends $10 more than half of his money.
If this amount of money is the same as $60 more than one-seventh of his money,
how much money did Sam have to begin with?
:
Let x = original amt
:
x - (.5x+10) = 1%2F7x + 60
x - .5x - 10 = 1%2F7x + 60
.5x = 1%2F7x + 60 + 10
.5x = 1%2F7x + 70
multiply by 7, results:
7(.5x) = x + 7(70)
3.5x - x = 490
2.5x = 490
x = 490%2F2.5
x = $196, his original amt
:
:
Check this in the given statement; half 196 = 98
196 - (98+10) = 1%2F7(196) + 60
196 - 108 = 28 + 60
88 = 88