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Jeff has two brothers and each of his brothers has three sisters and each of | |
the sisters has four step brothers. How many step brothers does each brother | |
have? | |
<think> Okay, so I've got this problem: Jeff has two brothers, and each of his | |
brothers has three sisters. Then it says that each of the sisters has four step | |
brothers. The question is asking how many step brothers each brother has. | |
Hmm, let me start by breaking down the information piece by piece. First, Jeff | |
is one person, right? And he's got two brothers. So in total, there are three | |
brothers: Jeff and his two brothers. Wait, no, wait—actually, when it says | |
"Jeff has two brothers," that means including Jeff or excluding him? I think in | |
most cases, when someone says they have a certain number of brothers, it | |
doesn't include themselves. So if Jeff has two brothers, then there are three | |
boys in total: Jeff plus his two brothers. | |
Now, each of these brothers (including Jeff?) has three sisters. Wait, no—that | |
part might be about the brothers excluding Jeff? Because it says "each of his | |
brothers," so that would mean Jeff's two brothers each have three sisters. So | |
does that include or exclude Jeff? I think in this context, when talking about | |
siblings, it usually refers to different people. | |
So if Jeff has two brothers and those two brothers have three sisters each, | |
that means there are three sisters in the family because they share the same | |
sisters. So three girls: let's say Anna, Bella, and Claire. Each of Jeff's | |
brothers (Brother 1 and Brother 2) have these three sisters. | |
Now, the next part says each sister has four step brothers. Step brothers would | |
be brothers from a stepparent relationship—so either through marriage or | |
another family situation. So each sister has four step brothers. The question | |
is: how many step brothers does each brother (Jeff and his two brothers) have? | |
Wait, so do the sisters' step brothers include Jeff's existing brothers? Or are | |
they separate? Let me think. | |
If each sister has four step brothers, that could be in addition to their | |
biological brothers. But then, since there are three sisters, who all share the | |
same step brothers, those four step brothers must be shared among them. So the | |
total number of step brothers for each sister is four, but Jeff's existing | |
brothers might or might not be part of this. | |
But wait, the question is about how many step brothers each brother (Jeff and | |
his two brothers) have. That means we need to figure out from their perspective | |
how many step brothers they have. | |
So if each sister has four step brothers, those are the same for all sisters | |
because siblings share the same step brothers. So the four step brothers are | |
additional to Jeff and his two brothers? Or do they include them? | |
Wait, that's a key point. If the sisters' step brothers are in addition to | |
their biological brothers (Jeff and his two brothers), then each sister has 4 + | |
3 = 7 brothers total, but I don't think that makes sense because the question | |
says each sister has four step brothers. So perhaps those step brothers are | |
separate from their biological brothers. | |
So let me clarify: There are three sisters. Each of these sisters has four step | |
brothers. Are these step brothers in addition to Jeff and his two brothers? Or | |
does "step brother" refer to any male siblings, including the biological ones? | |
Wait, no—usually, a step brother is someone who isn't biologically your sibling | |
but is related through marriage. So if the sisters have four step brothers, | |
they don’t include their own biological brothers (Jeff and his two brothers) | |
because those are already established. | |
So in that case, each sister has four step brothers outside of Jeff and his two | |
brothers. That would mean there are four additional male siblings from a | |
different family union—maybe through a parent's remarriage or something like | |
that. | |
But wait, the question is about how many step brothers each brother (Jeff and | |
his two) have. So for Jeff, his brothers are his brothers, but do they also | |
have step brothers? Or does it mean all of their male siblings that aren't | |
biological? | |
Wait, maybe I should approach this differently. Let's consider the family | |
structure: | |
- Number of brothers: 3 (Jeff plus his two brothers) | |
- Number of sisters: 3 | |
- Each sister has four step brothers. | |
So each sister has four step brothers, meaning in addition to Jeff and his two | |
brothers? Or including them? | |
Wait, no—if a sister has four step brothers, that could mean they are separate | |
from her biological brothers. So for the sisters, their total number of male | |
siblings would be 4 (step) + 3 (biological) = 7. But that might not necessarily | |
be how it works because step siblings aren't counted as your own siblings. | |
Wait, no—step siblings are still considered siblings in a family sense. | |
But perhaps I'm overcomplicating this. Let me try to model the family: | |
Biological Family: | |
- Boys: Jeff and his two brothers (3) | |
- Girls: Three sisters (Anna, Bella, Claire) | |
Let's say one of the parents remarries someone with four sons. Then those four | |
sons become step brothers to the existing children. | |
So from Jeff's perspective, he has his two brothers (biological) plus four step | |
brothers from the stepparent's side. Similarly, each brother would have their | |
own biological brothers and the four step brothers. | |
But wait, the question says that each sister has four step brothers. So perhaps | |
when a parent remarries, they bring in four sons, making those the step | |
brothers for all the children—Jeff, his two brothers, and the three sisters. | |
So each child (Jeff, Brother 1, Brother 2, Anna, Bella, Claire) would have four | |
step brothers from the stepparent's side. That means Jeff's own brothers are | |
still his biological brothers, but they also acquire four step brothers each. | |
But wait, does that mean each brother now has four step brothers in addition to | |
their two brothers? So for example, each brother would have 2 bio brothers and | |
4 step brothers, making a total of six male siblings. But the question isn't | |
about total; it's specifically about step brothers. | |
Wait, let me read the problem again: "Jeff has two brothers and each of his | |
brothers has three sisters and each of the sisters has four step brothers." How | |
many step brothers does each brother have? | |
So perhaps when it says each sister has four step brothers, that refers to from | |
their perspective. But for the brothers, the number of step brothers would be | |
the same as what the sisters have. | |
Wait, no—each sister's step brothers are the same set of boys because they're | |
all in the same family. So if Anna has four step brothers, then those same four | |
are step brothers to Bella and Claire as well. Similarly, those four would also | |
be step brothers to Jeff and his two brothers. | |
So from Jeff's perspective, he already has two biological brothers. Now, | |
through a stepparent, they gain four more brothers—so each brother (Jeff | |
included) now has four step brothers in addition to their existing brothers. | |
But wait, the question is about how many step brothers each brother has, not | |
total brothers. So the answer would be four. But let me make sure I'm not | |
missing anything. | |
Alternatively, perhaps the four step brothers include Jeff's two biological | |
brothers. That doesn't seem right because they're already part of the family | |
before any remarriage happens. So if a parent marries someone with four sons, | |
those are additional to the existing three boys. | |
Therefore, each sister would have four step brothers (the four new ones), and | |
each brother would also have four step brothers (those same four). So the | |
answer is four. | |
Wait, but let me confirm: | |
Total biological brothers: 3 (Jeff + two) Each sister has four step brothers, | |
so these are separate. Therefore, each brother now has those four as step | |
brothers. So each brother has four step brothers. </think> | |
The problem involves determining how many step brothers each of Jeff's brothers | |
has. Here's the breakdown: | |
1. **Biological Brothers and Sisters**: | |
- Jeff has 2 brothers, making a total of 3 biological brothers (including | |
Jeff). | |
- These three brothers have 3 sisters. | |
2. **Step Brothers Perspective**: | |
- Each sister has 4 step brothers. Since the step brothers are shared among | |
all siblings, each brother (Jeff and his two brothers) also has these same | |
4 step brothers. | |
Therefore, each brother (Jeff included) has 4 step brothers in addition to | |
their biological siblings. | |
<response>Each brother has four step brothers.</response> |
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