Word Problems Worksheet

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Name: _____________________________________________________________
Word Problems: (Set A)
For each problem: Define the variables, and write two equations.
1. You have a total of 21 pens and colored pencils on your desk. You have 3 more pens than colored pencils.
a) Define the variables
b) Write a system of linear equations that represents this situation.
2. A building has a total of 60 one-bedroom and two-bedroom apartments. There are twice as many one-
bedroom apartments as two-bedroom apartments. How many apartments of each type are in the building?
Use a system of linear equations to justify your answer.
a) Define the variables
b) Write a system of linear equations that represents this situation.
3. Justin and Taylor together have $60. Justin has $9 more than twice Taylor’s amount. How much money
does each have?
a) Define the variables
b) Write a system of linear equations that represents this situation.

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