Steps for Solving Algebraic Word Problems

Algebra WORD PROBLEMS Solving for the other unknown: 3x - 9 = 3(18) - 9 3x - 9 = 54 - 9 3x - 9 = 45 Answer: Capacity of the Smaller Tank = 18 gallons Capacity of the Larger Tank = 45 gallons Step 5. The larger tank holds 9 gallons less than three times the smaller tank. 3(18) - 9 = 54 - 9 = 45 The total capacity of the two tanks is 63 gallons. 18 + 45 = 63 Thus, the answers check. Example 2: A utility has three nuclear facilities that supply a total of 600 megawatts (Mw) of electricity to a particular area. The largest facility has a total electrical output three times that of the smallest facility. The third facility has an output that is 50 Mw more than half that of the largest facility. What is the electrical output of each of the three facilities? Solution: Step 1. Let x = Electrical Output of the Smallest Facility. Step 2. Then, 3x = Electrical Output of the Largest Facility, and, 3x + 50 = Electrical Output of the Third Facility. 2 Rev. 0 Page 45 MA-02