Alex and four of his friends are planning to split he cost of lunch. They want to spend at most $6 per person. write and solve an inequality to find the maximum cost of he lunch they can order.

Answer 1

Let's denote the maximum cost of the lunch they can order as \( C \). Since Alex and his four friends are five people in total and they want to spend at most $6 per person, the inequality would be as follows:

\( 5 \times 6 \geq C \)

This inequality means that when you multiply the number of people (5) by the maximum amount each person is willing to pay ($6), you get the maximum total cost that they can collectively afford for lunch (\( C \)).

Now, solve the inequality:

\( 5 \times 6 \geq C \)

\( 30 \geq C \)

So, the maximum cost of the lunch they can order without exceeding their $6 per person budget is $30.