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.(1
Let's assume Sam can spend money for x weeks.
Each week Sam spends $35 on recreational activities, so in x weeks he will spend 35x dollars.
If Sam started with $950 and wants to have at least $600 left, the inequality can be written as:
950 - 35x ≥ 600
Simplifying the inequality:
350 ≥ 35x
Dividing both sides of the inequality by 35:
10 ≥ x
Therefore, Sam can continue spending money for a maximum of 10 weeks.