2.5 The ratio of ducks to ducklings at a Eowing Park is $$ 7: 4 $$, If there ere 350 ducks, how many ducklings are there?

Question

UpStudy AI · Accepted Answer

To find the number of ducklings given the ratio of ducks to ducklings and the number of ducks, you can use the concept of ratios and proportions.

**Given:**
- Ratio of ducks to ducklings = $$ 7 : 4 $$
- Number of ducks = 350

**Let the number of ducklings be $$ x $$.**

**Step 1: Set up the proportion based on the given ratio.**

$$
\frac{\text{Ducks}}{\text{Ducklings}} = \frac{7}{4} = \frac{350}{x}
$$

**Step 2: Solve for $$ x $$.**

$$
\frac{7}{4} = \frac{350}{x}
$$

Cross-multiply to solve for $$ x $$:

$$
7x = 4 \times 350
$$

$$
7x = 1400
$$

$$
x = \frac{1400}{7}
$$

$$
x = 200
$$

**Answer:** There are **200 ducklings** in the Eowing Park.
There are 200 ducklings in the Eowing Park.

2.5 The ratio of ducks to ducklings at a Eowing Park is \( 7: 4 \), If there ere 350 ducks, how many ducklings are there?