More Practice with Systems of Linear Equations Word Problems
Name_________________________________________________________ Date________________
Set up a system of linear equations and use it to solve the following problems.
1. The sum of two numbers is 40 and their difference is 6. Find the numbers.
2. Tickets to a school play are $4.50 for adults and $3.00 for students. If 300 tickets are
sold and $1087.50 collected, how many student tickets were sold?
3. Two chili dogs and a soft drink cost $4.95. Three chili dogs and two soft drinks cost
$7.95. Find the cost of a chili dog and a soft drink.
4. Joyce has a collection of dimes and quarters worth $13.60. She has four more
quarters than dimes. How many dimes does Joyce have?
5. Amy has 35 dimes and nickels worth $2.50. How many of each does she have?
6. An amusement park charges admission and a fee for each ride. Admission plus 5
rides cost $30. Admission plus 8 rides cost $39. What is the price of admission?
7. An ice skating arena charges an admission fee for each child and a rental fee for
each pair of ice skates. Byron paid the admission fees for his six nephews and rented
five pairs of ice skates. He was charged $28.00. Cara paid the admission fees for her
five grandchildren and rented three pairs of ice skates. She was charged $21.00.
What is the admission fee? What is the rental fee for a pair of skates?
8. When Bob and Sue went to lunch, Bob ordered three chicken sandwiches and two
orders of fries. His bill was $13.75. Sue ordered two chicken sandwiches and one
order of fries. Her bill was $8.50. They both ordered water at no charge. What was
the cost of a chicken sandwich?