Question

I NEED HELP PLEASE ON THIS QUestION Mrs. Morton has a special reward system for her class. When all her students behave well, she rewards them by putting 3 marbles into a marble jar. When the jar has 100 marbles or more, the class has a party. Right now, the jar contains 24 marbles. Let r represent the number of additional times the class is rewarded. Write an inequality to determine how many more times the class needs to be rewarded in order to earn a party. What is the minimum whole number of times they need to be rewarded so they can have a party?

Answer 1

The answer is 26 more times. Below is how I came to that answer. 

Here are the variables you need to pull out to perform the equation:

R = number of times the class is rewarded
3R = number of times the class is rewarded multiplied by 3 marbles each time
24 = the number of marbles the jar already has
100 = at least how many marbles you need for a party

You will want to use this '>' symbol but with the line underneath it so it's a greater than or equal to sign, because the jar has to be greater than or equal to 100 marbles to have a party! I can't show the line in the answer through my keyboard, sorry, but make sure to include the line underneath it.

So,

100 > 3R + 24 

100 - 24 > 3R

76 > 3R

76/3 > R

25.33333 > R 

You round up the 25 to 26 to make it a whole number.

So, the class has to be rewarded at least 26 more times to have a party!