don't use algebra to solve: The ratio of Sumin's money to Meili's money was 4:1. After Sumin had spent $26, Sumin had $2 less than Meili. How much money did Sumin have at first?

To solve this problem without using algebra, we can approach it with logical reasoning and trial and error.

### Steps to solve:
1. **Understanding the ratio**: Initially, the ratio of Sumin's money to Meili's money was 4:1. This means for every 4 dollars Sumin had, Meili had 1 dollar.

2. **Trial and error approach**:
   - Let's consider different amounts of money for Meili. For simplicity, start with possible amounts for Meili's money and calculate Sumin's money based on the 4:1 ratio.
   - After Sumin spends $26, Sumin should have $2 less than Meili.

3. **Testing possible amounts**:
   - Suppose Meili had $10 (a simple round number).
   - If Meili had $10, then Sumin had 4 times that, which would be $40 (based on the 4:1 ratio).
   - After spending $26, Sumin would have $40 - $26 = $14.
   - But Sumin needs to have $2 less than Meili, so Sumin should have $8 (since Meili has $10).
   
   - Therefore, Meili cannot have $10 because $14 is not $2 less than $10.

4. **Adjusting the estimate**:
   - Now, try another possible amount for Meili’s money. Suppose Meili had $7.
   - If Meili had $7, then Sumin would have 4 times that, which is $28.
   - After spending $26, Sumin would have $28 - $26 = $2.
   - But Sumin needs to have $2 less than Meili, so this doesn't work either.

5. **Final adjustment**:
   - Try Meili having $6.
   - If Meili had $6, then Sumin would have 4 times that, which is $24.
   - After spending $26, Sumin would have $24 - $26 = -$2 (which is impossible).

6. **Correct estimate**:
   - Consider Meili having $7. If Meili had $7, then Sumin would have $28.

**Answer**: \(

Explore how to solve a money ratio problem involving Sumin and Meili. Understand the initial ratio, logical reasoning, and trial and error methods used to find Sumin's initial money amount. Suitable for students in Grades 5-7.

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