math
posted by Jenna .
Tyrone has $60 and his sister has $135. Both get an allowance of $5 each week. Tyrone decides to save his entire allowance, but his sister spends all of hers each week plus an additional $10 each week. After how many weeks will they each have the same amount of money?
Tyrone starts with 60.
Sister starts with 135.
Each receives $5/week. Let w = weeks.
Tyrone will have
60 + $5*w after w weeks.
Sister will have 135 + $5*w  $5*w  $10*w.
Set them equal and solve for w. Post your work if you get stuck.

6 weeks

It is 5 weeks.
5x+60=y
5x+13515x=y
set equations equal to each other to see when they will have the same amount in each situation
5x5x+15x=13560
15x=75
x=75/15=5
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