System of Linear Equations: Word Problems
1.
Members of a movie rental club pay a $15 annual membership fee and $2 for new release
movies. Nonmembers pay $3 for new release movies. Write a system of equations to represent
this situation and use substitution to solve. When is it beneficial to have a membership?
2.
A kicker on a football team scores 3 points for making a field goal and 1 point for making an
extra point after a touchdown. The kicker makes a total of 8 extra points and field goals in a
game and scores 12 points. Write and solve a system of linear equations to find the number of
field goals (x) and the number of extra points (y). (Use Elimination)
x  y  8

 3x  y  12
3.
Same as above but, kicker scores a total of 7 extra points and field goals and scores 17points.
Write and solve a system of linear equations.
4.
You buy a total of 50 turkey burgers and veggie burgers for $90. You pay $2 per turkey burger
and $1.50 per veggie burger. Write and solve a system of linear equations to find the number of
turkey burgers and the number of veggie burgers you buy.
5.
A juice stand sells lemonade for $2 per cup and orange juice for $3 per cup. The juice stand sells
a total of 100 cups of juice for $240. Write and solve a system of equations to find the number
of cups of lemonade and the number of cups of orange juice sold.
6.
There are a total of 64 students in drama club and yearbook club. The drama club has 10 more
students than yearbook club. Write a system of linear equations that represents this situation.
How many students are in each club?
7.
A drama club earns $1040 from a production. A total of 64 adult tickets and 132 student tickets
are sold. An adult ticket costs twice as much as a student ticket. Write a system of linear
equations that represents this situation. What is the cost of each ticket?