math

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.

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  1. 6 weeks

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  2. It is 5 weeks.
    5x+60=y
    5x+135-15x=y
    set equations equal to each other to see when they will have the same amount in each situation
    5x-5x+15x=135-60
    15x=75
    x=75/15=5

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  3. The answer is 3.75

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