SOLUTION: Two teenagers, Simon and Joe take $85 and $70 respectively for a weekend treat.During this break, Joe spends $5 more than Simon.At the end of the holiday Simon has twice as much mo

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Question 927896: Two teenagers, Simon and Joe take $85 and $70 respectively for a weekend treat.During this break, Joe spends $5 more than Simon.At the end of the holiday Simon has twice as much money left as Joe.Calculate how much money each boy spent.
Found 2 solutions by Techpriest, MathTherapy:
Answer by Techpriest(29) About Me  (Show Source):
You can put this solution on YOUR website!
Simon has $85.
Joe has $70.
Joe spends more than $5 than Simon, but we do not know how much they spent, so we will express it as "x".
At the end, Simon has twice as much money as left as Joe, so we will know the solution will be S = 2J, assuming that S = Simon and J = Joe.
Based on the statement above, we can assume that.
+S+=+85+-+x+
+J+=+70+-+%28x+%2B+5%29+
As with the equation above, we can plug in S and J with the equation of S = 2J
+85+-+x+=+2%2870+-+%28x+%2B+5%29%29+
+85+-+x+=+2%2870+-+x+-+5%29+ Distribution
+85+-+x+=+140+-+2x+-+10%29+ Distribution
+85+-+x+=+130+-+2x+ Combine Like Terms
+85+-+85+-+x+=+130+-+85+-+2x+ Subtraction Property of Equality
+-x+%2B+2x+=+45+-+2x+%2B+2x+ Addition Property of Equality
+x+=+45+ Simplify
Now we will plug in x for the S and J.
+S+=+85+-+x+
+S+=+85+-+45+ Substitution
+S+=+40+ Simplify
J+=+70+-+%28x+%2B+5%29+
+J+=+70+-+%2845+%2B+5%29+ Substitution
+J+=+70+-+50+ Combine Like Terms
+J+=+20+ Simplify
Now, we will plug in S and J for the S = 2J equation to verify if it is true.
+S+=+2J+
+40+=+2%2820%29+ Substitution
+40+=+40+
Simon has $40 and Joe has $20.

Answer by MathTherapy(10559) About Me  (Show Source):
You can put this solution on YOUR website!

Two teenagers, Simon and Joe take $85 and $70 respectively for a weekend treat.During this break, Joe spends $5 more than Simon.At the end of the holiday Simon has twice as much money left as Joe.Calculate how much money each boy spent.
Amount Simon spent: $highlight_green%2845%29

Amount Joe spent:     $highlight_green%2850%29

You can do the check!! 

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