Name_____________________________________ Period________________ Algebra II System Tickets Word Problems 1.Kayla’s school is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 3 senior citizen tickets and 5 child tickets for a total of $70. The school took in $216 on the second day by selling 12 senior citizen tickets and 12 child tickets. Find the price of a senior citizen ticket and the price of a child ticket. 2. The school that Imani goes to is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 3 senior citizen tickets and 3 child tickets for a total of $69. The school took in $91 on the second day by selling 5 senior citizen tickets and 3 child tickets. What is the price of each type of ticket? 3. A movie theater charges $8 for an adult ticket and $5 for a child ticket. On Saturday the theater sold 172 tickets for $1,220. How many of each type of ticket were sold? 4. At an Upper Dublin basketball game against Souderton a total of 560 adult and student tickets were sold for $1,604. Adult tickets cost $4 each and student tickets cost $2 each. Find the number of each type of ticket sold. 5. Tickets at a local movie theater are $4 for students and $7 for adults. One night the theater sells 578 tickets and collects $3,365 in ticket sales. How many of each type of ticket were sold? 6. Two families go to a hockey game. One family purchases two adult tickets and four youth tickets for $28. Another family purchases four adult tickets and five youth tickets for $45.50. Find the cost of each type of ticket. How much would it cost for two adults and five youth to attend the game?