Tickets to a show cost different for seniors, children, and adults. adult tickets are twice as much as senior tickets. two senior tickets plus one children’s ticket cost $17. two children tickets plus one adult ticket cost $24. how much does one senior ticket cost?

1A + 2C = $24, or, since A = 2S, you can write this as 

2S + 2C = $24 

The difference between $17 and $24 is $7, so this must be the cost of a child's ticket. Subtract this from $17 and you get $10, which must be the cost of 2 Senior tickets. So the Senior ticket costs $5, and the Adult ticket must cost $10. 

Therefore 1 Adult and 1 Senior ticket costs $15 

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