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Let's analyze the problem step by step:

### Given:
1. The ratio of juniors to children is \( 1:3 \).
   - This means for every 1 junior, there are 3 children.
   
2. The ratio of children to adults is \( 5:3 \).
   - This means for every 5 children, there are 3 adults.

### Goal:
We need to find the ratio of juniors to adults in its simplest form.

### Solution:

First, we need to express both ratios in terms of the same group (children) and then find the direct relationship between juniors and adults.

1. **Juniors to Children** ratio is \( 1:3 \). This implies:
   \[
   \text{Juniors} = 1 \times \text{Children}
   \]
   or
   \[
   J = \frac{1}{3} \times C
   \]

2. **Children to Adults** ratio is \( 5:3 \). This implies:
   \[
   \text{Children} = \frac{5}{3} \times \text{Adults}
   \]
   or
   \[
   C = \frac{5}{3} \times A
   \]

Now, substitute this value of \( C \) (children) into the expression for juniors:
\[
J = \frac{1}{3} \times \frac{5}{3} \times A
\]

Simplifying this:
\[
J = \frac{5}{9} \times A
\]

So, the ratio of juniors to adults is \( 5:9 \).

### Final Answer:
The ratio of juniors to adults is **5:9**.

---

Would you like further details or explanations on this solution? Here are 5 related questions you might find useful:

1. What are the steps to combine two ratios involving a common group?
2. Can ratios always be simplified in the same way as fractions?
3. How do you convert a ratio into a fraction and vice versa?
4. Why is it important to use a common group to solve ratio problems?
5. How can we verify that the ratio is in its simplest form?

**Tip:** When working with ratios, always try to express everything in terms of one variable before combining them, as it simplifies the calculations.

A football club has three types of members: adults, juniors, and children. The ratio of juniors to children is 1:3. The ratio of children to adults is 5:3. What is the ratio of juniors to adults in its simplest form?

Learn how to solve a ratio problem involving the members of a football club. The ratio of juniors to children is 1:3, and the ratio of children to adults is 5:3. Find the ratio of juniors to adults in its simplest form. Suitable for Grades 6-8.

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