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)Responses

1 answer

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

The number of marbles he has left after x weeks can be represented by the inequality 1,000 - 100x ≥ 500.

Simplifying the inequality, we have:
-100x ≥ -500
Dividing both sides by -100, we get:
x ≤ 5

Therefore, Jake can continue giving away marbles for a maximum of 5 weeks.