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Answer:4Step-by-step explanation:r → number of ride ticketsf → number of food ticketsr+f [tex]\geq 16 → inequation 1If an inequality is multiplied by a negative number on both sides, the inequality gets reversed. ≤ becomes ≥ and ≥ becomes ≤.⇒-2r-2f [tex]\leq[/tex] -32 → inequation 24r+2f \leq[/tex] 40 → inequation 3(An inequation is similar to an equation with = being replaced by an inequality)Addition of inequations having same inequality sign in them is done by adding their Left Hand Sides and Right Hand Sides without changing the inequality.So, adding inequations 2 and 3 :2r [tex]\leq[/tex] 8 ⇒ r [tex]\leq[/tex] 4∴ The maximum number of ride tickets she can buy is 4Verification:                   Let us assume, the number of ride tickets bought by her is 5.Then inequation 1 tells us that f should be atleast 11(f≥11). r=5 and f≥11 doesn't satisfy inequation 3. Same is the case for all other values of r≥5. Hence, maximum possible value of r is 4.