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Let's analyze the given problem step by step.

### Problem Breakdown:
- **Average sum of money of Alan, Jimmy, and Paul**: $47.60.
- **Alan's money**: $22.90.
- **Jimmy has $12.60 less than Paul**.
- **Paul bought 4 pairs of shorts** at $8.90 per pair and **3 shirts** at $9.70 each.

### Steps:
1. **Total money of Alan, Jimmy, and Paul**:
   The average sum is $47.60, and since there are three people, the total money is:
   \[
   \text{Total money} = 47.60 \times 3 = 142.80
   \]

2. **Find Paul's and Jimmy's money**:
   - Alan has $22.90.
   - Let Paul's money be $ P $. Jimmy has $12.60 less than Paul, so Jimmy has $ P - 12.60 $.
   - The total money of all three is the sum of their individual amounts:
   \[
   22.90 + (P - 12.60) + P = 142.80
   \]
   Simplifying:
   \[
   22.90 + P - 12.60 + P = 142.80
   \]
   \[
   2P + 10.30 = 142.80
   \]
   \[
   2P = 142.80 - 10.30 = 132.50
   \]
   \[
   P = \frac{132.50}{2} = 66.25
   \]
   Therefore, **Paul has $66.25**, and Jimmy has:
   \[
   66.25 - 12.60 = 53.65
   \]

3. **Calculate Paul's expenses**:
   - Paul buys 4 pairs of shorts at $8.90 each:
   \[
   4 \times 8.90 = 35.60
   \]
   - Paul buys 3 shirts at $9.70 each:
   \[
   3 \times 9.70 = 29.10
   \]
   - Total expenses:
   \[
   35.60 + 29.10 = 64.70
   \]

4. **How much money Paul has left**:
   \[
   66.25 - 64.70 = 1.55
   \]
   Therefore, Paul has **$1.55** left after buying the shorts and shirts.

---

Would you like further clarifications or have any other questions?

### Related Questions:
1. How would the solution change if Jimmy had $15 less than Paul?
2. What if the total average sum was $50 instead of $47.60?
3. How much money would Paul have left if the cost of the shirts increased by 10%?
4. What if Alan had $30 instead of $22.90? How would the total amount change?
5. How much money would Jimmy have if Paul bought only 2 pairs of shorts?

### Tip:
When solving word problems, always break down the problem into small steps, defining each variable clearly before solving!

The average sum of money Alan, Jimmy, and Paul had was $47.60. Alan had $22.90, and Jimmy had $12.60 less than Paul. If Paul bought 4 pairs of shorts at $8.90 per pair and 3 shirts at $9.70 each, how much money had he left?

Learn how to calculate Paul's remaining money after purchasing 4 pairs of shorts at $8.90 each and 3 shirts at $9.70 each, given the average sum of money he, Alan, and Jimmy had. This problem covers basic algebra, averages, and arithmetic operations.

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