Question

The owner of a new restaurant wants to have seating for more than 75 people. There is currently a
private chef’s table that seats 3 people. The owner plans to buy m tables that each seat 4 people.
Which inequality can be used to show the situation?

Answer 1

There are 3 seats currently, and there will be 4m extra seats if he buys m tables.

So, buying m tables give a total of $4m+3$ seats.

If we want this total to be at least 75, we have

$4m+3\geq 75 \iff 4m\geq 72 \iff m\geq 18$