Sam starts the summer with $950 in his wallet. He aims to have a minimum of $600 left by the end of the summer. Each week, he spends $35 on recreational activities. Write an inequality to determine the number of weeks Sam can continue spending money, and solve the inequality
Let x be the number of weeks Sam can continue spending money.
Sam spends 35*x dollars on recreational activities.
Sam has 950 - 35*x dollars left.
To have at least 600 dollars left, 950 - 35*x >= 600.
Subtracting 950 from both sides, we get -35*x >= -350.
Dividing both sides by -35, we get x <= (-350) / (-35)
Simplifying the right side, we get x <= 10.
Sam can continue spending money for a maximum of 10 weeks. Answer: \boxed{10}.