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Steps for Solving Algebraic Word Problems - h1014v1_158
Steps for Solving Algebraic Word Problems - h1014v1_160

Mathematics Volume 1 of 2
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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







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