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ISEE Upper Level
Mathematics Achievement

Relationship Between Savings Goals

Hard Algebra Systems Of Equations

Samantha and Leo are each saving money for different goals. Samantha saves $50 each month to reach her goal of $600, while Leo saves $40 each month to reach his goal of $320.

Let $$x$$ represent the number of months it takes for Samantha to reach her goal, and $$y$$ represent the number of months it takes for Leo to reach his goal. The systems of equations modeling their savings can be expressed as:

$$Samantha: 50x = 600$$

$$Leo: 40y = 320$$

What is the relationship between $$x$$ and $$y$$ when both have reached their savings goals?

Hint

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