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Let's solve the problem step by step.

### Problem:
- Initially, the ratio of newts to toads was **3:4**.
- After 9 more toads entered the pond, the ratio of newts to toads became **3:5**.
- We need to find how many newts are in the pond.

### Step 1: Define variables
Let:
- \( x \) be the number of newts initially.
- \( y \) be the number of toads initially.

From the initial ratio \( \frac{x}{y} = \frac{3}{4} \), we can write the equation:
\[
x = \frac{3}{4}y \quad \text{(Equation 1)}
\]

### Step 2: Consider the changed ratio
After 9 more toads enter the pond, the number of toads becomes \( y + 9 \). The new ratio of newts to toads is now \( \frac{x}{y + 9} = \frac{3}{5} \), so:
\[
\frac{x}{y + 9} = \frac{3}{5}
\]
Multiplying both sides by \( y + 9 \), we get:
\[
x = \frac{3}{5}(y + 9) \quad \text{(Equation 2)}
\]

### Step 3: Substitute \( x \) from Equation 1 into Equation 2
From Equation 1, we know that \( x = \frac{3}{4}y \), so substitute that into Equation 2:
\[
\frac{3}{4}y = \frac{3}{5}(y + 9)
\]

### Step 4: Solve for \( y \)
Cancel the factor of 3 from both sides:
\[
\frac{1}{4}y = \frac{1}{5}(y + 9)
\]
Now multiply both sides by 20 to eliminate the fractions:
\[
5y = 4(y + 9)
\]
Expand and simplify:
\[
5y = 4y + 36
\]
Subtract \( 4y \) from both sides:
\[
y = 36
\]

### Step 5: Find \( x \)
Now that we know \( y = 36 \), substitute this back into Equation 1 to find \( x \):
\[
x = \frac{3}{4}(36) = 27
\]

### Answer:
There are **27 newts** in the pond.

Would you like more details or have any questions? Here are some additional problems related to ratios and word problems:

1. If 5 more newts entered the pond, what would the new ratio of newts to toads be?
2. Suppose instead of 9, 12 more toads entered the pond. What would the new ratio of newts to toads be?
3. If the total number of animals (newts and toads) in the pond is doubled, how many newts and toads would there be?
4. What if the initial ratio was 4:5 instead of 3:4? How would the number of newts change?
5. If the pond can only hold 100 animals, how many more toads or newts could be added without exceeding this limit?

**Tip:** When solving ratio problems, always translate the ratio into an algebraic equation to help simplify the solution.

In a pond, the ratio of newts to toads was 3:4. 9 more toads then entered the pond, and the ratio of newts to toads became 3:5. Work out how many newts are in the pond.

Learn how to solve a ratio problem involving newts and toads in a pond. The problem involves changing ratios after more toads enter the pond. Detailed step-by-step solution provided. Suitable for students in Grades 6-8.

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