SOLUTION: How do you solve this word problem: Roger, Sue and Tim have $90 between them. Roger has halt the amount that Sue has. If Sue gives Tim $5, he will have twice as much as she doe

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Question 50618: How do you solve this word problem:
Roger, Sue and Tim have $90 between them. Roger has halt the amount that Sue has. If Sue gives Tim $5, he will have twice as much as she does. How much does each one have?
Please show and explain each step. Thank you so much.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Roger, Sue and Tim have $90 between them. Roger has half the amount that Sue has. If Sue gives Tim $5, he will have twice as much as she does. How much does each one have?
-----------------
Assume Roger has "x".
Then Sue has "2x".
And Tim will have 2(2x-5)= 4x-10
EQUATION:
x+2x+4x-10 = 90
7x=100
x=$14.29 {amount Roger has)
2x=$28.57 (amount Sue has)
4x-10= $47.28 (amount Tim has)

These numbers don't add up to exactly $90 because of
rounding off.
Cheers,
Stan H.


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