1. Word Problems & Systems of Equations
MATH 017
Intermediate Algebra
S. Rook

2. Overview Section 4.3 (Objective 1) in the textbook
Solving word problems using systems of equations

3. Solving Word Problems Using Systems of Equations
Objective is to extract a system of equations from a word problem
Be on the lookout for key words such as is (=), difference (-), etc.
Use either substitution or elimination to solve the resulting system
MUST practice to become proficient!!

4. Solving Word Problems Using Systems of Equations (Example)
Ex 1: A first number is 7 greater than a second number. Twice the first number is 4 more than three times the second. Find the two numbers.

5. Solving Word Problems Using Systems of Equations (Example)
Ex 2: Three times one number minus a second is 8, and the sum of the numbers is 12. Find the numbers.

6. Solving Word Problems Using Systems of Equations (Example)
Ex 3: Karen bought some large frames for $15 each and some small frames for $8 each at a closeout sale. If she bought 22 frames for $239, find how many of each type she bought.

7. Solving Word Problems Using Systems of Equations (Example)
Ex 4: A drama club sold 311 tickets for a play. Student tickets cost 50 cents each; non-student tickets cost $ If total receipts were $385.50, find how many tickets of each type were sold.

8. Solving Word Problems Using Systems of Equations (Example)
Ex 5: One solution contains 20% acid and a second solution contains 50% acid. How many ounces of each solution should be mixed in order to have 60 ounces of a 30% acid solution?

9. Solving Word Problems Using Systems of Equations (Example)
Ex 6: A manager of a candy shop mixes M & Ms worth $2.00 per pound with trail mix worth $1.50 per pound. Find how many pounds of each she should used to get 50 pounds of a party mix worth $1.80 per pound.

10. Summary
After studying these slides, you should know how to do the following:
Answer word problems by setting up and solving systems of equations