Systems of Equations Word Problems Test

Steven's school is selling tickets to a play. On the first day of ticket sales the school sold 2 senior citizen tickets and 10 child tickets for a total of $98. The school took in $191 on the second day by selling 7 senior citizen tickets and 16 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.

The school that Nicole goes to is selling tickets to the bike race. On the first day of ticket sales the school sold 11 senior citizen tickets and 12 student tickets for a total of $290. The school took in $370 on the second day by selling 13 senior citizen tickets and 16 student tickets. Find the price of a senior citizen ticket and the price of a student ticket.

A plane traveled 2016 miles each way to London and back. The trip there was with the wind. It took 16 hours. The trip back was into the wind. The trip back took 21 hours. What is the speed of the plane in still air? What is the speed of the wind?

This year the senior class at Garfield High School and the senior class at Lakeshore High School both planned trips to the local museum. The senior class at Garfield High School rented and filled 15 vans and 11 buses with 662 students. Lakeshore High School rented and filled 9 vans and 14 buses with 671 students. Every van had the same number of students in it as did the buses. How many students can a van carry? How many students can a bus carry?

A boat traveled 212.16 miles each way downstream and back. The trip downstream took 9.6 hours. The trip back took 41.6 hours. Find the speed of the boat in still water and the speed of the current.