Final answer:
Charles and Robert divided gummy bears between themselves and Charles got 70% of the Gummi Bears. If Charles got 100 more gummy bears than Robert, the number of gummy bears Charles get is a. 250.
Step-by-step explanation:
To find out how many gummy bears Charles got, we first need to determine the total number of gummy bears.
Let's assume that Robert got x gummy bears.
According to the given information, Charles got 70% of the gummy bears, which means he got 0.7 times the total number of gummy bears.
Since Charles got 100 more gummy bears than Robert, we can create the equation: 0.7 T = x + 100.
Simplifying the equation gives us: 0.7 T - x = 100.
Now, since Charles got 70% of the gummy bears, Robert got the remaining 30%.
Therefore, we can also express Robert's number of gummy bears as: 0.3 T.
Substituting 0.3 T for x in the equation gives us: 0.7 T - 0.3 T = 100.
Simplifying and solving for T gives us: 0.4 T = 100, which means T = 250.
Therefore, Charles got 0.7 times 250 gummy bears, which is equal to 175 gummy bears.
Thus, the correct answer is a. 250.