1. **State the problem:** Bert has some amount of cents. If he had 3 cents more, he would have twice as much as Georgia. If he had 4 cents less, he would have the same amount as Georgia. We need to find how many cents Bert has.
2. **Define variables:** Let $B$ be the number of cents Bert has, and $G$ be the number of cents Georgia has.
3. **Translate the conditions into equations:**
- If Bert had 3 cents more, he would have twice as much as Georgia:
$$B + 3 = 2G$$
- If Bert had 4 cents less, he would have the same amount as Georgia:
$$B - 4 = G$$
4. **Express $G$ from the second equation:**
$$G = B - 4$$
5. **Substitute $G$ into the first equation:**
$$B + 3 = 2(B - 4)$$
6. **Simplify and solve for $B$:**
$$B + 3 = 2B - 8$$
$$3 + 8 = 2B - B$$
$$11 = B$$
7. **Answer:** Bert has $11$ cents.
Bert Cents
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