At a family reunion, each of Sadie's aunts and uncles is getting photographed once. The aunts are taking pictures in groups of 10 and the uncles are taking pictures in groups of 5. If Sadie has the same total number of aunts and uncles, what is the minimum number of aunts that Sadie must have?

To find the minimum number of aunts that Sadie must have, we need to consider the groups in which the aunts and uncles are taking pictures.

Let's assume Sadie has "x" aunts. Since the aunts are taking pictures in groups of 10, the total number of aunt groups can be calculated by dividing the number of aunts by 10: x/10.

Similarly, let's assume Sadie has "y" uncles. Since the uncles are taking pictures in groups of 5, the total number of uncle groups can be calculated by dividing the number of uncles by 5: y/5.

According to the given information, the total number of aunt groups is equal to the total number of uncle groups: x/10 = y/5.

To find the minimum number of aunts, we need to find the smallest possible value for x that satisfies this equation.

To do this, we can simplify the equation by multiplying both sides by 10: 10(x/10) = 10(y/5).

This simplifies to: x = 2y.

Since Sadie has the same total number of aunts and uncles, we can substitute x with y in the equation: y = 2y.

Solving this equation, we find that y = 0.

However, since we are looking for a minimum number of aunts, we need to find a positive value for y. Therefore, the minimum number of aunts that Sadie must have is 0.

Please note that this answer assumes that Sadie must have at least one aunt and one uncle. If Sadie can have zero aunts or uncles, then the minimum number of aunts would be 0.