Systems of Equations Word Problems
HW (Day 2)
Name_____________________________
Date______________Period___________
Directions: Write and solve a system of equations to represent the following situations.
Remember to write a sentence that answers the question.
1) A farmer raises cows and chickens. The farmer has a total of 42 animals. One day he
counts the legs of all of his animals and realizes he has a total of 114 legs. How many cows
and how many chickens does the farmer have?
Let x = _____________________
___________________________
Let y = _____________________
___________________________
2) The sum of two numbers is 361 and the difference between the two numbers is 173.
What are the two numbers?
Let x = _____________________
___________________________
Let y = _____________________
___________________________
3) The cost of 8 muffins and 2 quarts of milk is $18. The cost of 3 muffins and 1 quart of
milk is $7.50. How much does 1 muffin cost? How much does 1 quart of milk cost?
Let x = _____________________
___________________________
Let y = _____________________
___________________________