Explanation Given: The total number of packages sold is 12 and the total number of razors sold is 162 and that took $ 35 . The packages of 6 blades, 12 blades and 24 blades cost $ 2 , $ 3 and $ 4 respectively. Calculation: Let the number of packages of six blades is x , the number of packages of 12 blades is y, and the number of packages of 24 blades is z . The three statements are as follows: Total number of razors is 162. It implies 6 x + 12 y + 24 z = 162 Total number of packages is 12. It implies x + y + z = 12 Cost of package containing six blades is $2, cost of package containing 12 blades is $3 andcost of package containing 24 blades is $4. The cost in total is $35. It implies 2 x + 3 y + 4 z = 35 Mark the system of equation as follows: 6 x + 12 y + 24 z = 162 (I) x + y + z = 12 (II) 2 x + 3 y + 4 z = 35 (III) Multiply equation (I) by − 6 and eliminate x from equations (I) and (II) to get, 6 x + 12 y + 24 z = 162 − 6 x − 6 y − 6 z = − 72 6 y + 18 z = 90 (IV) Multiply equation (II) by − 2 and eliminate x from equations (III) and (II) to get, 2 x

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ISBN: 9781323142707

Author: Blitzer

Publisher: Pearson Custom Publishing

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Chapter 8.2, Problem 38E

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To calculate: The number of packages of 6 blades, 12 blades and 24 blades, where the total number of packages sold is 12 and the total number of razors sold is 162 and that took $35.

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Chapter 8.2, Problem 37E

Chapter 8.2, Problem 39E

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The number of packages of 6 blades, 12 blades and 24 blades, where the total number of packages sold is 12 and the total number of razors sold is 162 and that took $ 35 .

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To calculate: The number of packages of 6 blades, 12 blades and 24 blades, where the total number of packages sold is 12 and the total number of razors sold is 162 and that took $35.

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Chapter 8 Solutions