Answer:
There were 116 jelly beans in the bag to start with
Step-by-step explanation:
a. Let's start with Carries brother and his friends.
We are given that Carrie's brother ate 4 jelly beans, the first teammate ate 6, the second teammate ate 8 and so on.
Noticing the pattern, we can see that each teammate ate 2 jelly beans more that the one preceding him.
We are also given that Carrie's brother has 8 teammates.
This means that:
Carrie's brother ate 4 jelly beans
First teammate ate 4 + 2 = 6 jelly beans
Second teammate ate 6 + 2 = 8 jelly beans
Third teammate ate 8 + 2 = 10 jelly beans
Fourth teammate ate 10 + 2 = 12 jelly beans
Fifth teammate ate 12 + 2 = 14 jelly beans
Sixth teammate ate 14 + 2 = 16 jelly beans
Seventh teammate ate 16 + 2 = 18 jelly beans
Eighth teammate ate 18 + 2 = 20 jelly beans
Now, we calculate the total number of jelly beans eaten by Carrie's brother and his teammates
Total jelly beans = 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 = 108 jelly beans
b. Next, we move to Carrie:
We are given that Carrie ate 5 jelly beans
Adding that to the total number of jelly beans from part a, we get the total number of eaten jelly beans
Therefore:
Total number of eaten jelly beans = 108 + 5 = 113 jelly beans
c. Getting the number of jelly beans that were in the bag to start with:
We are given that the remaining number of jelly beans in the bag after all has eaten was 3 jelly beans
This means that, if we added the number of eaten jelly beans to the number of remaining jelly beans, we will get the total number of jelly beans that were in the bag to start with
Therefore:
Total number of jelly beans in the bag to start with = 113 + 3 = 116 jelly beans
Hope this helps :)