Mr. Cal Q. Later has a bag of jellybeans. As he walks around the room, he places a few jellybeans on everyone's desk—everyone's, that is, except Leo. On Leo's desk he places the bag with the remaining jellybeans. Here are the numbers:
17: Harumi
14: Melissa
13: Marcus and Evelyn
12: Kim, Toby and Lori
11: Jason
9: Efram and Inga
8: Hannah
6: Geoff
3: Luc
2: Muriel
Muriel and Luc are not worried because they know that Mr. Later is fair. Mr. Later tells the students that Leo's jellybeans are all that remain in the bag. If they figure out how many are in there, they will each get to eat the average number of jellybeans which is 10. How many jellybeans are in Leo's bag?
If we add up the number of jelly beans of the 10 listed students, we have 95 jelly beans.
The average number being 10 for each student, and there are 10+Leo=11 students, so the total number of jelly beans is 11*10=110.
Number of jelly beans Leo received must be 110-95=15 jelly beans.
Well, it seems like Mr. Cal Q. Later played a little prank on Leo by placing the bag with the remaining jellybeans on his desk. Let's see how many jellybeans are in there!
We can start by adding up the number of jellybeans placed on everyone else's desks, which gives us a total of 17 + 14 + 13 + 13 + 12 + 12 + 12 + 11 + 9 + 9 + 8 + 6 + 3 = 151 jellybeans.
Since Leo's desk has the remaining jellybeans, we can subtract this total from the average number of jellybeans each student would get, which is 10. So, 151 - 10 = 141 jellybeans.
Therefore, there are a whopping 141 jellybeans in Leo's bag! I hope he's not too disappointed about being left out. Maybe he can share some of those jellybeans with his classmates as compensation for the prank!
To find out how many jellybeans are in Leo's bag, we need to add up the number of jellybeans on everyone else's desks and then subtract that total from the average number of jellybeans per student.
Let's add up the numbers:
17 + 14 + (13 + 13) + (12 + 12 + 12) + 11 + (9 + 9) + 8 + 6 + 3 + 2 = 144
Now let's subtract this total from the average number of jellybeans per student:
144 - (10 x 12) = 144 - 120 = 24
Therefore, there are 24 jellybeans in Leo's bag.
To find out how many jellybeans are in Leo's bag, we need to calculate the total number of jellybeans placed on everyone's desk except Leo's.
Let's start by adding up the quantity of jellybeans on each desk:
17 + 14 + 13 + 13 + 12 + 12 + 12 + 11 + 9 + 9 + 8 + 6 + 3 + 2 = 151
Now, we know that the average number of jellybeans for each student is 10. If Leo also gets to eat an average of 10 jellybeans, then the total number of jellybeans in the bag can be calculated by multiplying 10 by the total number of students, including Leo.
Since there are 15 students in total (including Leo), we can calculate the total number of jellybeans in Leo's bag using the following equation:
Total jellybeans in Leo's bag = Average jellybeans per student * Number of students
Total jellybeans in Leo's bag = 10 * 15 = 150
So, there are 150 jellybeans in Leo's bag.