# Compare "Unit Rates" with "Ratios" ?

Apr 1, 2017

A unit rate is the value of 1 entity
A ratio is the relative proportion of 2 entities

#### Explanation:

$1$. Unit Rates:

Consider n units of some commodity costs $x $\therefore 1$unit of the commodity would cost$$\frac{x}{n}$

We could say that the "unit cost" of the commodity is $$\frac{x}{n}$NB: The concept of unit rate need not apply to cost but rather any measure of unit volume of the entity. $2$. Ratios Consider a ratio $a : b$where $a$and $b$are measures of the same entity. If we are told that $a : b$as $x : y$Then $\frac{a}{b} = \frac{x}{y}$Hence: $a y = b x$As an example, consider $a : b$as $1 : 2$Hence: $2 a = b \to$$b$is twice as large as $a\$

Hope this helps!