# How much chicharrón can Jeff Bezos buy?

This is a calculation made by Sebastián Tobón when he was taking the course Numerical Methods for Partial Differential Equations (in 2020). The purpose was to encourage doing quick calculations (back-of-the-envelope) and having the size of some numbers (for example, 10¹²) in their heads. Here is the question I asked:

How much chicharrón (pork rinds) can Jeff Bezos buy?

Suppose an average pig weighs 80 kg. If its muscle tissue constitutes 35% to 40% of its body weight, we can ge 30 kg of meat.

Jeff Bezos has a net worth of

\begin{equation*} JB = 115.7 \times 10^9 \text{ USD}\, . \end{equation*}

The price of 100 g of chicharrón is

\begin{equation*} 7000\text{ COP}\, \frac{1\text{ USD}}{3539.13\text{ COP}} = 1.978\text{ USD}\, . \end{equation*}

\begin{equation*} \frac{115.7\times 10^9\text{ USD}}{\frac{1.978\text{ USD}}{100\text{ g}}} = 5.85\times 10^{12}\text{ g of chicharrón.} \end{equation*}

The total number of pigs in the world is 1×10⁹. This is equivalent to a total of

\begin{equation*} 1\times 10^9 \text{ heads} \times \frac{30\text{ kg}}{1\text{ head}} = 3\times 10^{13} \text{ g of chicharrón.} \end{equation*}

In order to buy all the pork rinds in the world, he must increase his net worth by 5.13.

The most expensive pigs in the world cost around 1000 USD, then