On the first day of ticket sales the school sold 2 senior citizen tickets and 1 student ticket for a total of 21$. The school took in 129$ on the second day by selling 11 senior citizen tickets and 10 student tickets. Find the price of a senior citizen ticket and a student ticket.

Question

campbell_st · Answer

ok... so you have 2 equations 

let C = senior citizens
     S = students

so ticket sales

2C + S = 21        (day 1)

11C + 10S = 129  (day 2)

take the day 1 equation and write it with S as the subject

S = 21 - 2C

now substitute this into the day 2 says information


11C + 10(21 - 2C) = 129

after distrubuting you get


11C + 210 - 20C = 129

subtract 210 from both sides and collect the like terms 

-9C = -81

I'll let you solve to equation to find the cost of a senior citizen ticket.

Hope this helps

campbell_st · Answer

to find the price of a student ticket... substitute the value of C into 

S = 21 - 2C

anonymous · Answer

I'm lost. how would you solve the first equation without a common variable..

anonymous · Answer

I got 9 for senior and 2 student

campbell_st · Answer

I think the student is 3 and the senior citizen is 9

anonymous · Answer

Ah yes i added wrong