WORD PROBLEMSAlgebraStep 2. Express the other unknowns in terms of x using the informationgiven in the problem.Step 3. Write an equation that says in symbols exactly what the problemsays in words.Step 4. Solve the equation.Step 5. Check the answer to see that it satisfies theconditions stated in the problem.Example 1:What are the capacities of two water storage tanks in a nuclear facility if one holds 9gallons less than three times the other, and their total capacity is 63 gallons?Solution:Step 1. Let x = Capacity of the Smaller TankStep 2. Then, 3x - 9 = Capacity of the Larger TankStep 3. Total Capacity = Capacity of the Smaller Tank + Capacity of theLarger Tank63 = x + (3x - 9)Step 4. Solving for x:x + (3x - 9) = 634x - 9 = 634x = 63 + 94x = 72x = 18MA-02 Page 44 Rev. 0
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