In this question, we have to find **what it means** by $1 $ ratio $ 1$, also written as $1:1$.

The **basic concept** behind this questionnaire is the knowledge and definition of **ratios** in mathematics.

## Expert Answer

Generically, a **ratio** is the comparison of **two quantities** that have the **same unit** and can be expressed with the help of $2 $ variables. Let us suppose that $x $ and $y $ are those **two variables** and they should be an **integer** then we can write them in** fraction form** as follows:

\[ Ratio = \dfrac{x}{y}Â \]

where

$variable \space x\ =\ first \space quantity$

$variable \space y\ =\ second\space quantity$

By definition **$1:1$ ratio** is actually **one of the portion** or quantity of the whole substance. For more clear understanding let us take an** example** of $10$ liters of **orange juice** in **two containers**.

Then we can write it as follows:

\[Ratio \space of \space Orange \space juices = \dfrac{10}{10}\]

\[Ratio \space of \space Orange \space juices= \dfrac { 1 } { 1 }\]

which will be equal or can be written as:

\[Ratio \space of \space Orange \space juice = 1:1\]

Or let us suppose that we have** spice jars** in our kitchen and in the set we have $ 100$ grams of** salt** and $100 $ grams of **pepper**. Thus, we can write that the **spices salt, **and **pepper** are in a $ 1 :1 $. We can **mathematically express** these quantities as written below:

\[Quantity \space of \space salt \space in \space jar=100\]

\[Quantity \space of \space pepper \space in \space jar=100\]

which will be equal or** can be written** as:

\[Ratio \space of \space salt \space and \space pepper=\dfrac{100}{100}\]

\[Ratio \space of \space salt \space and \space pepper=1:1\]

Now for the same example let us suppose that we have **different quantities** of **spices in jars** and in the given set we have $ 30$ grams of **salt** and $300 $ grams of **pepper**. Thus, we can write that the **spices salt and pepper** are in a $ 1: 10 $. We can **mathematically express** these quantities as written below:

\[Quantity \space of \space salt \space in \space jar=30\]

\[Quantity \space of \space pepper \space in \space jar=300\]

which will be equal or can be written as:

\[Ratio \space of \space salt \space and \space pepper=\dfrac{30}{300}\]

\[Ratio \space of \space salt \space and \space pepper=1:10\]

## Numerical Results

By definition,** $1:1$ ratio** is actually **one of the portions** or quantities of the whole substance when **units are the same**.

## Example

$1$ bottle has $6$ liters of **pineapple juice** while the other has $4$ liters of juice. **Calculate the ratio** of these bottles.

Given in the question statement, we have:

$1$ bottle has $6$ liters of **pineapple juice.**

**Another bottle** has $4$ liters of pineapple juice.

\[Ratio \space of \space pineapple \space juice=\dfrac{6}{4}\]

\[Ratio \space of \space pineapple \space juice =\dfrac{3}{2}\]

which will be** equal** or can be written as:

\[Ratio \space of \space pineapple \space juice = 3: 2\]