High School

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**Homework 27 January 2025**

1. The ratio of patrons supporting Trons to Sharks in a sports bar is [tex]\(2:5\)[/tex]. If there are 35 people in total, how many are Shark supporters?

2. Numbers are in the ratio [tex]\(3:5\)[/tex]. What is the ratio?

[tex]
\[
\begin{array}{ll}
\frac{3}{4} \times 20 & \frac{9}{20} = \frac{3}{2} \\
\frac{60}{4} = 15 \\
\hline & x = 15
\end{array}
\]
[/tex]

Answer :

Sure! Let's go through the solution step-by-step.

### Question 1
The problem states that the ratio of Trons Supporters to Sharks Supporters is 2:5. Given that there are a total of 35 people, we need to determine how many of them are Sharks Supporters.

Step 1: Understand the Ratio
The given ratio of Trons Supporters to Sharks Supporters is 2:5. This means for every 2 Trons Supporters, there are 5 Sharks Supporters.

Step 2: Calculate Total Parts in the Ratio
To use the ratio, first, add the parts together:
- Total parts = 2 (Trons) + 5 (Sharks) = 7 parts

Step 3: Determine the Value of One Part
Since the 35 people are divided into 7 equal parts, each part represents:
- People per part = Total people / Total parts = 35 / 7 = 5

Step 4: Calculate Number of Sharks Supporters
The Sharks Supporters make up 5 parts of the 7 total parts:
- Number of Sharks Supporters = 5 parts × 5 people per part = 25

So, there are 25 Sharks Supporters.

### Question 2
The ratio of numbers given is 3:5.

Understanding the Ratio
This simply means that for every 3 units of the first quantity, there are 5 units of the second quantity. The ratio 3:5 is already in its simplest form and doesn't need any further calculation or simplification.

Thus, the ratio remains as 3:5.

By following these steps, we find that there are 25 Sharks Supporters, and the ratio is 3:5.

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