Let's let "w" represent the number of weeks that Jake can continue giving away marbles. Each week, he gives away 100 marbles. Since he wants to have a minimum of 500 marbles left by the end of the summer, we can set up the following inequality:
1,000 - 100w >= 500
Simplifying the inequality, we get:
-100w >= -500
To isolate "w," we divide both sides of the inequality by -100. However, when dividing by a negative number, we must reverse the direction of the inequality sign:
w <= -500 / -100
w <= 5
Therefore, Jake can continue giving away marbles for a maximum of 5 weeks.
Jake begins 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.
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