Inequalities

Hong Kong

Stage 4 - Stage 5

An airline is checking passengers into two flights, A and B, simultaneously. Due to passenger numbers, there must be at least $10$10 staff at check-in for flight A and at least $7$7 staff at check-in for flight B. Since there must be staff on hand for other services, the airline can only allocate at most $23$23 staff for check-in of both flights.

a

Let $x$`x` and $y$`y` represent the number of staff attending check-in of flights A and B respectively.

Fill in the gaps to complete the system of inequalities.

$x$`x` $\ge$≥ $\editable{}$

$y$`y` $\ge$≥ $\editable{}$

$x+y$`x`+`y` $\le$≤ $\editable{}$

b

Graph the system of inequalities.

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c

If $14$14 staff are allocated to checking in passengers of flight A, what is the maximum number of staff that can be allocated to checking in passengers of flight B?

Easy

Approx 4 minutes

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