Name____________________________ Pd. _____Date ________ Prac. # _____ Writing Systems of Equations
Formulate a system of equations to solve the problem.
1) At a baseball game, Lynn spent $18.50 on 3 cotton candies and 5 soft drinks for her children. Another
parent spent $17.00 on 6 cotton candies and 2 soft drinks. What is the price of 1 cotton candy and 1 soft
drink?
2) A local charity is hosting a fund-raising dinner. They have sold 368 tickets. Premium tickets cost $50,
and regular tickets cost $25. All together the tickets sales have been $12,000. How many premium
tickets have they sold?
3) Ms. Kitts works at a music store. Last week she sold 6 more than 3 times the number of CDs that she
sold this week. Ms. Kitts sold a total of 108 CDs over the 2 weeks. Write a system of equations to find
l, the number of CDs sold last week, and t, the number of CDs sold this week.
4) The state fair is a popular field trip destination. This year the senior class at High School A and the
senior class from High School B both planned trips there. The senior class at High School A rented and
filled 8 vans and 8 buses with 240 students. High School B rented and filled 4 vans and 1 bus with 54
students. Every van had the same number of students in it as did the buses. Find the number of students
in each van and bus.
Set up and solve a system of equations.
5) A store sold 20 shirts. The blue ones sold for $5 each and the white ones sold for $4 each. $90 worth of
shirts were sold. What is the number of each type of shirt sold?
6) Stacy has 19 coins in her pocket, all quarters and dimes. The value of the coins is $2.35. How many
quarters does she have?
7) Find the value of two numbers if their sum is 12 and their difference is 4.
8) The difference of two numbers is 3. Their sum is 13. Find the numbers.
9) The senior classes at High School A and High School B planned separate trips to New York City. The
senior class at High School A rented and filled 1 van and 6 buses with 372 students. High School B
rented and filled 4 vans and 12 buses with 780 students. Every van had the same number of students in
it as did the buses. Find the number of students in each van and bus.
10) Brenda’s school is selling tickets to a spring musical. On the first day of ticket sales the school sold 3
senior citizen tickets and 9 child tickets for a total of $75. The school took in $67 on the second day by
selling 8 senior citizen tickets and 5 child tickets. What is the price of one senior citizen ticket and on
child ticket?
11) The school that Stephan goes to is selling tickets to a choral performance. On the first day of ticket
sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52
on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen
ticket and the price of a child ticket?
12) Matt and Ming are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and
large boxes of oranges. Matt sold 3 small boxes of oranges and 14 large boxes of oranges for a total of
$203. Ming sold 11 small boxes of oranges and 11 large boxes of oranges for a total of $220. Find the
cost of one small box of oranges and one large box of oranges.