# Sam was given $40.00 for his birthday and saves $5.00 of his allowance each week, while Susan has $90.00 but spends her weekly allowance plus $5.00 of her savings each week. When will they have the same amount?

##### 1 Answer

Sam and Susan will have the same amount of money in 5 weeks.

#### Explanation:

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For both people, their bank account changes linearly. The general functional form for this is

You've probably seen this equation before, but HERE, because this is a **word problem**,

Sam's equation is

Susan's equation is

The question is when do they have the same amount of money? That is, when are these two

Add

Subtract

Divide both sides of this equation by