Question

An aircraft has a maximum of 30 first class seats and 220 economy seats.

A first class seat costs $240 and an economy class seat costs $120.

A flight will be cancelled if the money taken for the seats is less than $28,800.

x=the number of first class seats

y=the number of economy class seats



Write three inequalities to represent the situation

Answer 1

`x\leq 30`

`y\leq 220`

`240x+120y<28,800`

Explanation:

Let

x ----> the number of first class seats

y ----> the number of economy class seats

we know that

An aircraft has a maximum of 30 first class seats

so

`x\leq 30`

An aircraft has a maximum of 220 economy seats

`y\leq 220`

A flight will be cancelled if the money taken for the seats is less than $28,800.

so

`240x+120y<28,800`

therefore

Three inequalities that represent the situation are

`x\leq 30`

`y\leq 220`

`240x+120y<28,800`