GB-08-04-001 · Integer constraints
A group has £125 to spend on a trip. There is a booking fee of £28 and each ticket costs £14. Work out the greatest number of tickets the group can buy.
Forming & Solving Linear Inequalities
Booklet p. 15
Method
1) Form inequality: fixed fee + cost × n ≤ budget
2) Kill, kill to solve for n
3) Take greatest whole number (integer)
Worked Example (GB-08-04-001)
1)
28 + 14n ≤ 125.
2)
n ≤ 6.93.
3)
6
Ans =
6