Question

A box of $12$ tacos cost \[\$9.99 \]. At this rate, how much does one taco cost?

Answer 1

Hint: Here we are given the cost of twelve tacos and we are asked to find the cost of one tacos. So, first of all we will assume the required unknown cost of one tacos be “x” and also, considering the given data will frame the equation.

Complete step-by-step answer:
$12$ tacos cost \[\$9.99 \].
Therefore, $1$ tacos cost $x$
So, the equation becomes,
$\dfrac{x}{1} = \dfrac{{9.99}}{{12}}$
Cross multiply the above equation, where the numerator of one side is multiplied with the denominator of the opposite side.
$ \Rightarrow 12x = 9.99(1)$
One multiplied with any number gives the number itself.
$ \Rightarrow 12x = 9.99$
Term multiplicative on one side if moved to the opposite side then it goes to the denominator.
$ \Rightarrow x = \dfrac{{9.99}}{{12}}$
Simplify the above expression –
$ \Rightarrow x = 0.8325 $
Hence, cost of one taco is \[ \$ 0.8325 \]
So, the correct answer is “\[ \$ 0.8325 \]”.

Note: Ratio is the comparison between two numbers without any units.
Whereas, when two ratios are set equal to each other are called the proportion.
Four numbers a, b, c, and d are said to be in the proportion. If $a:b = c:d$whereas, four numbers are said to be in continued proportion if the terms \[\] $a:b = b:c = c:d$