SOLUTION: Currently, you have $60 and your sister has $135. You decide to save $5 of your allowance each week, while your sister decides to spend her whole allowance plus $10 each week. Ho

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: Currently, you have $60 and your sister has $135. You decide to save $5 of your allowance each week, while your sister decides to spend her whole allowance plus $10 each week. Ho      Log On

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Question 109339This question is from textbook algebra 1
: Currently, you have $60 and your sister has $135. You decide to save $5 of your allowance each week, while your sister decides to spend her whole allowance plus $10 each week. How long will it be before you have as much money as your sister?
a. Write equation for the model
b. Solve the equation
My verbal model
Week 0 1 2 3 4 5
Your $ 60 65 70 75 80 85
Sisters $ 135 125 115 105 95 85
I need help with writing the equation and solving it please!!
Thanks!!!! This question is from textbook algebra 1

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
60+(5x)=135-(10x)
5x+10x=135-60
15x=75
x=5 weeks they will have the same amount.
proof.
60+5*5=135-5*10
60+25=135-50
85=85