Algebra-Word Inequality problem: What is the logic behind this question?

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Question Given: Ralm is at a super bowl party, and he is the first person to the dessert tray. He loves ice cream sandwiches, but he wants to be considerate to the other people at the party, so he doesn't want to take more than his share. There are 17 people at the party, and there are 40 ice cream sandwiches. If n is the number of ice cream sandwiches Ralm eats, we can write the following inequality to make sure he doesn't exceed his share. 17n≤40

Why would they write an inequality stating that for every sandwhich ralm eats multiply it by 17, I understand it should be less than 40 but why the latter?

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If there are 17 people at the party, and each person eats their fair share, how would you represent that algebraically?