There are 3 different candies in a jar, and they are labeled as type A, type B, and type C. Each type of candy is either red, green, or blue. You know that:
- The total number of candies is 100.
- The number of type A candies is congruent to 4 modulo 7.
- The number of type B candies is congruent to 5 modulo 9.
- The number of type C candies is congruent to 3 modulo 11.
Determine the number of each type of candy. Let's think step by step and output the final answer within \boxed{}.
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