Write a system of equation for the following scenario. Roshaun has saved $150 and continues to save $10 each week. Keegan starts with $0 and saves $25 each week.

Let's start out with the amount of money each person will have over any period of time. Let t = time in weeks.

Roshaun will have 150 + 10t. Keegan will have 25t. we want to know when they will have the same amounts, so we set the 2 equations equal and solve for t:

150 + 10t = 25t

150 = 25t - 10t

150 = 15t

150/15 = t

10 = t

Therefore, in 10 weeks they will both have the same amount:

Roshaun: 150 + 10(10)--->150 + 100 = $250

Keegan; 25(10) = $250

Hope this helps!

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