SOLUTION: Alice and Tom get the same amount of pocket money. Each week, Tom spends $23 and Alice spends $3 more than Tom. When Tom saves $63, Alice saves $36. How much pocket money does Tom

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Question 950630: Alice and Tom get the same amount of pocket money. Each week, Tom spends $23 and Alice spends $3 more than Tom. When Tom saves $63, Alice saves $36. How much pocket money does Tom get each week.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Alice and Tom get the same amount of pocket money.
Each week, Tom spends $23 and Alice spends $3 more than Tom.
When Tom saves $63, Alice saves $36.
How much pocket money does Tom get each week.
:
let w = no. weeks for this to be true
:
A's amt = A's amt
26t + 36 = 23t + 63
26t - 23t = 63 - 36
3t = 27
t = 27/3
t = 9 weeks
Find how much total using Tom's allowance
9(23) + 63 = $270 in 9 weeks
270/9 = $30 a week is Tom's allowance
:
Confirm this by using Alice's allowance
9(26) + 36 = $270 also