at pennys pie shop, it costs $4 for $\frac{1}{4}$ of a pie. what is the cost of a whole pie? simplify your…

at pennys pie shop, it costs $4 for $\frac{1}{4}$ of a pie. what is the cost of a whole pie? simplify your answer and write it as a proper fraction, mixed number, or whole number.

at pennys pie shop, it costs $4 for $\frac{1}{4}$ of a pie. what is the cost of a whole pie? simplify your answer and write it as a proper fraction, mixed number, or whole number.

Answer

Explanation:

Step1: Set up the proportion

Let $x$ be the cost of a whole pie. We know that $\frac{1}{4}$ of a pie costs $4$ dollars, and a whole pie is $1$. The proportion is $\frac{4}{\frac{1}{4}}=\frac{x}{1}$.

Step2: Solve for $x$

Using the rule of cross - multiplication (if $\frac{a}{b}=\frac{c}{d}$, then $ad = bc$), we have $x\times\frac{1}{4}=4\times1$. To isolate $x$, we multiply both sides of the equation by $4$. So $x = 4\times4$. $x=16$

Answer:

$16$