Answer:
25 baggies; each bag has 2 blueberry scones, and three cranberry scones.
Step-by-step explanation:
The question format is a bit bugged, but I assume the question is asking "You have 50 blueberry scones and 75 cranberry scones. You want to make as many identical bags as possible. What is he greatest number of bags you can fill?"
The first thing to realize when solving this question is that whatever the answer is equal to, it must be able to be equally divided from both 50 and 75, otherwise it will have a remainder, and at least one bag will have too many or not enough scones.
This means that the answer must be a factor of both 50 and 75.
The factors of 50 includes {1, 2, 5, 10, 25, 50}
The factors of 75 includes {1, 3, 5, 15, 25, 75}
In the two sets, only 1, 5, and 25 are common factors. Of the three factors, 25 is the greatest number, and thus the greatest number of bags that can you can fill.
