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 point)

Question

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 point)

👇

1 answer
(click or scroll down)

👇

Answer 1

Bot GPT 3.5 answered
5 months ago

Let's assume that Sam can continue spending money for x weeks.

The amount of money he spends on recreational activities per week is $35.
So, the total amount of money he spends on recreational activities in x weeks is 35x.
The amount of money he has left by the end of the summer is 950 - 35x.
According to the problem, Sam aims to have at least $600 left by the end of the summer. Therefore, the inequality is 950 - 35x >= 600.
To solve the inequality, we can subtract 950 from both sides to isolate -35x, and then divide both sides by -35.
950 - 950 - 35x >= 600 - 950
-35x >= -350
Dividing both sides by -35 (and reversing the inequality),
-35x / -35 <= -350 / -35
x <= 10.
So, Sam can continue spending money for a maximum of 10 weeks.