Problems with Systems of Inequalities in 2 Variables
Interactive practice questions
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.
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 $\le$≤ $\editable{}$
Graph the system of inequalities.
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?
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Applicants for a particular university are asked to sit a numeracy test and verbal reasoning test. Successful applicants must obtain a minimum score of $17$17 on a numeracy test and a minimum combined score of $37$37 for both tests.
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