A new school has x day students and y boarding students. The fees for a day student are $600 a term.
The fees for a boarding student are $1200 a term.
The school needs at least $720 000 a term.
Show that this information can be written as x + 2y ≥ 1200.​

Given:

The fees for a day student are $600 a term.

The fees for a boarding student are $1200 a term.

The school needs at least $720000 a term.

To show:

That the given information can be written as .​

Solution:

Let x be the number of day students and y be the number of boarding students.

The fees for a day student are a term.

So, the fees for day students are a term.

The fees for a boarding student are a term.

The fees for boarding student are a term.

Total fees for day students and boarding student is:

The school needs at least $720000 a term. It means, total fees must be greater than or equal to $720000.

Divide both sides by 600.

Hence proved.