Explanation Given Information: Joanne, Kent and Geoff together process 504 orders per day. Kent can process 20 more orders per day than Joanne and Geoff process 104 fewer orders per day than both Kent and Joanne process Calculation: The problem can be solved as follows, In this problem we have three unknowns, which can be represent ted by x , y and z , Let the number of orders for Joanne be x Let the number of orders for Kent be y Let the number of orders for Geoff be z Step 1: Write three independent relationships between the three variables, According to given problem, Working together, Joanne, Kent and Geoff can process 504 per day, x + y + z = 504 Now, Kent can process 20 more orders per day than Joanne can process, y = x + 20 And, Geoff can process 104 fewer orders per day than Kent and Joanne combined, z + 104 = x + y Step 2: Change all the equations in standard form, x + y + z = 504 → x + y + z = 504 ………… (1) y = x + 20 → add − x on both sides − x + y = 20 ………… (2) z + 104 = x + y → re-arrange the terms x + y − z = 104 ………… (3) Step 3: Eliminate ‘ z ’ variable again from equation 1 and 2 using subtraction method, x + y + z = 504 x + y − z = 104 _ </

5th Edition

ISBN: 9781259616754

Author: Julie Miller, Molly O'Neill, Nancy Hyde

Publisher: McGraw-Hill Education

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Chapter 4, Problem 27T

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To calculate: Number of orders that each person that is Joanne, Kent and Geoff process per day when They together process 504 orders per day. Kent can process 20 more orders per day than Joanne and Geoff process 104 fewer orders per day than both Kent and Joanne process

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Chapter 4, Problem 26T

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Number of orders that each person that is Joanne, Kent and Geoff process per day when They together process 504 orders per day. Kent can process 20 more orders per day than Joanne and Geoff process 104 fewer orders per day than both Kent and Joanne process

Solution Summary: The author explains that Joanne, Kent and Geoff process 504 orders per day, while Kent can process 104 fewer orders than both. The three unknowns are represented by x, y, and z.

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To calculate: Number of orders that each person that is Joanne, Kent and Geoff process per day when They together process 504 orders per day. Kent can process 20 more orders per day than Joanne and Geoff process 104 fewer orders per day than both Kent and Joanne process

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