Question

Write the ratio 12 : 36 as an equivalent ratio of x : 3.
__

Answer 1

To find an equivalent ratio of \( 12 : 36 \) in the form \( x : 3 \), we first simplify the ratio \( 12 : 36 \).

1. Divide both parts of the ratio by 12:
\[
12 \div 12 : 36 \div 12 = 1 : 3
\]

Now, we have the simplified ratio \( 1 : 3 \), which means that \( 12 : 36 \) is equivalent to \( 1 : 3 \).

Since we want the ratio to be in the form \( x : 3 \), we observe that in the ratio \( 1 : 3 \), the second part is already 3. Therefore \( x = 1 \).

Thus, the equivalent ratio of \( 12 : 36 \) as \( x : 3 \) is:
\[
x = 1
\]

So, \( x : 3 = 1 : 3 \).

Answer 2

its not correct

Answer 3

I apologize for any confusion. Let's solve the problem correctly step by step.

We start with the ratio \(12 : 36\) and want to express it as an equivalent ratio \(x : 3\).

1. **Write the given ratio in fraction form**:
\[
\frac{12}{36}
\]

2. **Simplify the fraction**:
\[
\frac{12 \div 12}{36 \div 12} = \frac{1}{3}
\]
Therefore, the simplified ratio of \(12 : 36\) is \(1 : 3\).

3. **Set up the equation**:
We know that we want the ratio \(x : 3\) to be equivalent to \(1 : 3\). Since the second part of the ratio must be the same, we can directly see:
\[
3 = 3
\]
In this case, to maintain the ratio, \(x\) must equal \(1\).

Thus, we conclude that:
\[
\text{The value of } x \text{ is } 1.
\]

The equivalent ratio \(x : 3\) for \(12 : 36\) is indeed \(1 : 3\), which means \(x = 1\).

If there's still something unclear or if you need further assistance, please let me know!