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Answer:
x = number of students tickets = 1,000
y = number of adults tickets = 250
Step-by-step explanation:
Let
x = number of students tickets
y = number of adults tickets
x + y = 1,250 (1)
2x + 3y = 2,750 (2)
Multiply (1) by 2
x + y = 1,250 (1) * 2
2x + 2y = 2,500 (3)
2x + 3y = 2,750 (2)
Subtract (3) from (2) to eliminate x
3y - 2y = 2,750 - 2,500
y = 250
Substitute y = 250 into (1)
x + y = 1,250
x + 250 = 1,250
x = 1,250 - 250
x = 1,000
x = number of students tickets = 1,000
y = number of adults tickets = 250