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

Question

Write the ratio 12 : 36 as an equivalent ratio of x : 3.
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GPT-4o mini · Answer

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 $.

nobody · Answer

its not correct

GPT-4o mini · Answer

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 $x : 3$.

Write the given ratio in fraction form: \[ \frac{12}{36} \]
Simplify the fraction: \[ \frac{12 \div 12}{36 \div 12} = \frac{1}{3} \] Therefore, the simplified ratio of $12 : 36$ is $1 : 3$.
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!