Question

Tommie paid $17.50 to buy 6 youth tickets and 1 adult ticket to a school carnival. Susan paid $22.50 to buy 3 youth tickets and 3 adult tickets at the carnival. What was the price of an adult ticket?

Answer 1

6y + a = 17.50
3y + 3a = 22.50...multiply by -2
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6y + a = 17.50
-6y - 6a = - 45...result of multiplying by -2
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-5a = - 27.50
a = -27.50 / -5
a = 5.50 <== price of adult ticket (a)