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What does a 1:1 ratio mean?

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:

\[ Ratio = \dfrac{x}{y}  \]

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:

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

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