<think>Okay, let me try to figure this out step by step. Hmm, so Ken is making a care package for his brother, and he's adding different things to a box, which changes the weight each time. The problem is asking for the final weight after all the additions. Let me start by breaking down each part of the problem as described.

First, Ken puts a box on a scale. Then he adds jelly beans until the total weight is 2 pounds. So, initially, the box alone must weigh something, but once he adds the jelly beans, it goes up to 2 pounds. Wait, actually, the problem doesn't mention the weight of the empty box. It just says he put the box on the scale and then added jelly beans to reach 2 pounds. Does that mean the box itself is part of that 2 pounds? Let me read that part again: "Ken placed a box on a scale, and then he poured into the box enough jelly beans to bring the weight to 2 pounds." So, initially, the box is on the scale, but we don't know its weight. Then he adds jelly beans until the total becomes 2 pounds. Hmmm, so the box plus the first batch of jelly beans equal 2 pounds. Okay, so maybe that implies the box might have some negligible weight, or perhaps the question is just starting from when he starts adding things, but the first step is box plus jelly beans to 2 pounds.

Then, next, he adds enough brownies that the weight triples. So after the jelly beans bring it to 2 pounds, adding brownies makes it triple, so 2 times 3 is 6 pounds?

Then, he adds another 2 pounds of jelly beans. So after tripling to 6 pounds, adding another 2 pounds would make it 8 pounds.

Finally, he adds gummy worms so that the weight doubles once again. So doubling 8 pounds would make it 16 pounds.

Wait, hold on. Let me make sure I'm following each step correctly. Let me outline each step numerically:

1. Start with the box on the scale. Add jelly beans until total weight is 2 pounds. So box + initial jelly beans = 2 lbs. But since the box is needed to hold the items, maybe we can assume the box's weight is included here. So at this point, it's 2 lbs.

2. Then add brownies until the weight triples. So tripling 2 lbs would be 6 lbs. So the added brownies must be 6 - 2 = 4 lbs. So after this step, total weight is 6 lbs.

3. Next, add another 2 lbs of jelly beans. So 6 + 2 = 8 lbs.

4. Then add gummy worms to double the weight again. So 8 * 2 = 16 lbs. The final weight would be 16 lbs.

Wait, but let's reconsider whether each tripling and doubling applies just to the current total. Let's check each operation again:

First step: box + initial jelly beans = 2 lbs. So initial state is 2 lbs.

Second step: adds brownies so that the total weight triples. So 2 lbs * 3 = 6 lbs. Therefore, added brownies = 6 - 2 = 4 lbs.

Third step: adds another 2 lbs of jelly beans. So 6 + 2 = 8 lbs.

Fourth step: adds gummy worms so that the weight doubles. So 8 * 2 = 16 lbs. So final weight is 16 lbs.

This seems straightforward.

But let me verify again just in case. Sometimes with these problems, tripling might be misinterpreted. Is tripling the original weight, or the current? In the problem description, each operation should be applied to the weight at that step.

“...he poured into the box enough jelly beans to bring the weight to 2 pounds. Then, he added enough brownies to cause the weight to triple. Next, he added another 2 pounds of jelly beans. And finally, he added enough gummy worms to double the weight once again.”

So the wording is:

Step 1: Enough jelly beans to reach 2 lbs (so initial stuff including box maybe up the weight to 2)
Step 2: Then added brownies to cause the weight to triple. So the previous weight (2 lbs) triples to 6.
Step 3: Added another 2 lbs jelly beans, so 6 + 2 = 8.
Step 4: Added gummy worms to double the weight again. So 8 * 2 = 16.

Okay, that logic holds. Each action is based on the current weight.

Another way to think about it: If after step 1, it's 2 lbs. Then in step 2, tripling means the brownies added turn the total into 3 times what it was before adding the brownies. So yes: 2 becomes 6. Then step 3 adds 2: 6+2=8. Then doubling the 8 gives 16. That seems correct.

But wait, let me think again: when they say “he added enough brownies to cause the weight to triple”, does that mean tripling from previous step or tripling in some other way? Like, suppose the act of adding brownies causes the weight to triple from the prior weight. So after the first addition of jelly beans (2 lbs), he adds brownies such that the new total weight becomes triple of the previous total. That is, 2*3=6. So yes, correct.

If we parse the sentence: "added enough brownies to cause the weight to triple". The direct object is "the weight". So the weight before adding brownies was 2, and he's adding brownies until that weight becomes 3 times the original weight. So 2 triples to 6.

Similarly, for the gummy worms: after adding another 2 lbs of jelly beans to make total 8 lbs, then adding enough gummy worms to double the weight. So doubling 8 would be 16.

All steps add in sequence. So the final answer would be 16 pounds.

But just to cross-check, why don't I try to represent each step mathematically.

Let's denote:

- Let W be the weight after each step.

Step 1: W1 = 2 lbs.

Step 2: After adding brownies, W2 = 3 * W1 = 3*2 = 6 lbs.

Step 3: Adding 2 lbs of jelly beans: W3 = W2 + 2 = 6 + 2 = 8 lbs.

Step 4: After adding gummy worms, W4 = 2 * W3 = 2*8 = 16 lbs.

Therefore, yes, the final weight is 16 pounds. Is that right?

Alternatively, did I make any assumption about the box weight? At the very start, he placed a box on the scale and added jelly beans to bring the weight to 2 pounds. So whether the box was originally having some weight, but since by adding jelly beans he gets to 2, perhaps the combined weight of box + first jelly beans is 2. So maybe the box is included in that 2, as the process is: box on scale (probably empty box has some weight, but unless specified, we probably suppose that by adding the jelly beans you get to a total of 2 lbs). Then, the rest of the steps are additives to that 2 lbs. So even if the box had a starting weight, as he adds items until the scale reaches a certain point. Therefore, unless the box's weight is given separately, we’d have to disregard it.

But the problem statement says: Ken placed a box on a scale, and then he poured into the box enough jelly beans to bring the weight to 2 pounds. If he is putting a box on a scale that already has some weight, but then he adds jelly beans until the total weight (box plus jelly beans) is 2 pounds. So this starting weight is 2. Then all the next additions are based off that. So he starts with a box, adds Jelly Beans to get to 2 pounds. So from the wording, that should include the box’s weight.

Alternatively, if we take "placed a box on a scale", meaning the box is on the scale. Maybe it's empty, but maybe it's not. If he then adds jelly beans to cause the total weight (box + jelly beans) to reach 2 pounds. So then, you can think of whatever was the box's existing weight plus Jelly Beans equaling 2. Then Brownies are added until the weight triples (so 2*3 = 6), regardless of the initial weight.

But since the problem doesn't specify the box's weight, it's safest to assume that whatever initial weight the box had was included in the initial measurement. So the initial step is to set the weight to 2 lbs (box plus first jelly beans). Then all subsequent steps build from that. So perhaps the original box's weight is 0, or irrelevant, because all operations start from when he first sets the scale to 2 lbs. So that's our starting point.

Therefore, the process is:

Start: Box on scale, add jelly beans until total is 2 lbs.

Then, add brownies until total triples, so to 6.

Add another 2 lbs jelly beans: 8.

Add gummy worms until weight doubles: 16.

So all of these operations would mean the final weight is 16 pounds. So I can't see a different interpretation here which would change the result, unless the tripling is interpreted as 3 times the original box's weight or something, but the problem just states "the weight to triple", which would be tripling the current weight.

Thus, I think 16 pounds is the correct answer.

**Final Answer**
The final weight of the box of goodies is \boxed{16} pounds.
</think>

Ken created a care package by following these steps:

1. **Start with the box and add jelly beans**: Ken placed a box on a scale and added enough jelly beans to reach a total weight of 2 pounds.  
   - Result: 2 pounds.

2. **Add brownies to triple the weight**: Ken added enough brownies to triple the current weight.  
   - Calculation: \(2 \times 3 = 6\) pounds.  
   - Result: 6 pounds.

3. **Add another 2 pounds of jelly beans**: Ken added 2 pounds of jelly beans to the current weight.  
   - Calculation: \(6 + 2 = 8\) pounds.  
   - Result: 8 pounds.

4. **Add gummy worms to double the weight**: Ken added enough gummy worms to double the current weight.  
   - Calculation: \(8 \times 2 = 16\) pounds.  
   - Result: 16 pounds.

The final weight of the box of goodies is \(\boxed{16}\) pounds.