Mrs. Morton has a special reward system for her class. When all her students behave well, she rewards them by putting 333 marbles into a marble jar. When the jar has 100100100 or more marbles, the students have a party. Right now, the jar has 242424 marbles. Write an inequality to determine the number of additional times, rrr, Mrs. Morton could reward the class in order for the students to have a party.

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Answer:

[tex]3r+24\geq 100[/tex]

Step-by-step explanation:

Let r represent the number of additional times the class is rewarded by Mrs. Morton.

We have been given that when all students of Mrs. Morton's class behave well, she rewards them by putting 3 marbles into a marble jar. So marbles added in r additional times would be [tex]3r[/tex].

We are also told that right now, the jar has 24 marbles. So total marbles in the jar would be [tex]3r+24[/tex].

Since the students have a party, when the jar has 100 or more marbles, so for having a party for the students total number of marble should be greater than or equal to 100.

We can represent this information in an inequality as:

[tex]3r+24\geq 100[/tex]

Therefore, our required inequality would be [tex]3r+24\geq 100[/tex].