exam Maths Puzzle Numerical Ability

THE COST OF A FIELD TRIP IS $280 PLUS $5 PER STUDENT. THE SCHOOL CAN SPEND AT MOST $500 ON THE FIELD TRIP. HOW MANY STUDENTS ARE ABLE TO GO ON THE FIELD TRIP?

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Please help.
Factor the trinomial.
16x^2 + 40xy + 25y^2
I need help on how to write the statements and reasons for this proof