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