Applications of Linear Systems Test

Jason’s school is selling tickets to the school play. On the first day of ticket sales the school sold 3 adult tickets and 15 senior tickets for a total of $189. The school took in $211 on the second day by selling 14 adult tickets and 9 senior tickets. Find the price of an adult ticket and the price of a senior ticket.

This year, the senior class at McMann High School and the senior class at Park Place High School both planned trips to the local museum. The senior class at McMann High School rented and filled 4 vans and 16 buses with 744 students. Park Place rented and filled 5 vans and 12 buses with 594 students. Each van carried the same number of students. Additionally, each bus carried the same number of students. How many students can a van carry? How many students can a bus carry?

A plane traveled 1152 miles each way to Singapore and back. The trip there was with the wind and took 9 hours. The trip back was into the wind and took 16 hours. Find the speed of the plane in still air and the speed of the wind.

Sara and Alissa are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of holiday wrapping paper. Sara sold 4 rolls of plain wrapping paper and 6 rolls of holiday wrapping paper for a total of $142. Alissa sold 10 rolls of plain wrapping paper and 16 rolls of holiday wrapping paper for a total of $370. If a customer who purchased 3 rolls of plain wrapping paper and 1 roll of holiday wrapper paper requests a refund, how much will she receive?

Three painters, Jake, Larry, and Joe, working together can paint the exterior of a two-story house in 10 hours. Joe and Larry can paint the same two-story house in 15 hours. Yesterday, Jake, Larry, and Joe worked on a two-story house for a total of 4 hours, after which Joe left. If Jake and Larry required an additional 8 hours to finish the job, how long would it take for each person to paint the house if they were working alone?