AlgebraWORD PROBLEMSSolving for the other unknown:3x - 9 = 3(18) - 93x - 9 = 54 - 93x - 9 = 45Answer: Capacity of the Smaller Tank = 18 gallonsCapacity of the Larger Tank = 45 gallonsStep 5. The larger tank holds 9 gallons less than three times the smallertank.3(18) - 9 = 54 - 9 = 45The total capacity of the two tanks is 63 gallons.18 + 45 = 63Thus, the answers check.Example 2:A utility has three nuclear facilities that supply a total of 600 megawatts (Mw) ofelectricity to a particular area. The largest facility has a total electrical output three timesthat of the smallest facility. The third facility has an output that is 50 Mw more than halfthat 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.2Rev. 0 Page 45 MA-02
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