Jake begins the summer with 1,000 marbles in his collection. He aims to have a minimum of 500 marbles left by the end of the summer. Each week, he gives away 100 marbles to friends. Write an inequality to determine the number of weeks Jake can continue giving away marbles and find the solution.(1 point)

Answer 1

Let x be the number of weeks Jake gives away marbles.

The number of marbles Jake has at the end of x weeks is 1000 - 100x.

According to the information given, Jake wants to have a minimum of 500 marbles left. Therefore, the inequality is:

1000 - 100x ≥ 500

Simplifying the inequality:

-100x ≥ -500

Dividing both sides of the inequality by -100, we get:

x ≤ 5

The solution is x ≤ 5. This means that Jake can continue giving away marbles for a maximum of 5 weeks.