Answer The total weight of the boxes of pecans is 306 pounds. Explanation Given information: There were 24 fewer 2 lb boxes of walnuts than 3 lb boxes of pecans and the total weight of the shipment was 462 lb. Calculation: Let n be the number ofboxes of pecans then ( n − 24 ) is the number of boxes of walnuts, Now we can complete the table Weight per box Number of boxes Total weight Pecans 3 n 3 n Walnuts 2 ( n − 24 ) 2 n − 48 Total weight of the shipment was 462 lb, so we can write an equation 3 n + 2 n − 48 = 462 Now solving the above equation, we get 5 n = 462 + 48 n = 102 Total weight of pecans is 3 n = 3 * 102 = 306 Conclusion: The total weight of the boxes of pecans is 306 pounds.

(REV)00 Edition

ISBN: 9780395977224

Author: Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher: McDougal Littell

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Question

Chapter 3.6, Problem 3P

To determine

To calculate:Find the total weight of the boxes of pecans in a shipment of 3 lb boxes of pecans and 2 lb boxes of walnuts. There were 24 fewer 2 lb boxes of walnuts than 3 lb boxes of pecans and the total weight of the shipment was 462 lb.

Weight per box * Number of boxes = Total Weight
Pecans ? ? ?
Walnuts ? ? ?

Expert Solution & Answer

Answer to Problem 3P

The total weight of the boxes of pecans is 306 pounds.

Explanation of Solution

Given information:There were 24 fewer 2 lb boxes of walnuts than 3 lb boxes of pecans and the total weight of the shipment was 462 lb.

Calculation:Letn be the number ofboxes of pecans then(n−24) is the number of boxes of walnuts, Now we can complete the table

	Weight per box	Number of boxes	Total weight
Pecans	3	n	3 n
Walnuts	2	(n−24)	2n−48

Total weight of the shipment was 462 lb, so we can write an equation

3n+2 n−48=462

Now solving the above equation, we get

5 n=462+48

n=102

Total weight of pecans is

3 n=3*102=306

Conclusion:The total weight of the boxes of pecans is 306 pounds.

Chapter 3.6, Problem 2P

Chapter 3.6, Problem 4P

Chapter 3 Solutions

Algebra: Structure And Method, Book 1

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College Algebra (Collegiate Math)

Algebra

ISBN:9780077836344

Author:Julie Miller, Donna Gerken

Publisher:McGraw-Hill Education

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