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

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) (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

RELATED QUESTIONS
The average age of Alice and tom is 14 years 3 months. Alice is 2 years 8 months younger... (answered by lwsshak3,MathTherapy)

Tom, Alice, Helen and Sally had $430 altogether. Alice and Helen had the same amount of... (answered by math_tutor2020,josgarithmetic,ikleyn,MathTherapy)

Can this be made into an equation. Tom has 51 cents MORE than Jerry. On the way home (answered by stanbon)

Jim has $12.50 and Tom has $46.70 . If Jim saves 40 cents and Tom spends 50 cents per... (answered by ewatrrr)

. Tom, Dick, and Mary decided to share expenses for a class party. Tom bought $28 worth... (answered by jojo14344)

Tom, Dick and Mary decided to share expenses for a class party. Tom bought $28 worth of... (answered by ankor@dixie-net.com,Mathtut)

Mary is half as old as Tom. George is 3 years older than tom. The sum of Mary,tom,and... (answered by Maths68)

tom can point a fence in 2 hours and alice can point the same fence in 4 hours. how long... (answered by checkley79)

Tom and Jane get money in a ratio of 2:3 if Tom gets 14$ how much does Jane get (answered by ikleyn)