# Math - Weight, of the heavier of 2 packages

by Renee
(Ashland)

The difference between the weights of two packages is 12 ounces,and the mean of the weights is 78 ounces. What is the weight,in ounces,of the heavier of the 2 packages?

### Comments for Math - Weight, of the heavier of 2 packages

 Jun 19, 2012 Weight of the heavier of 2 packages by: Staff The answer: x = weight of 1st package, the heavier package y = weight of 2nd package The difference between the weights of two packages is 12 ounces x - y = 12 the mean (or average) of the weights is 78 ounces (x + y) / 2 = 78 You now have two equations with two unknowns x - y = 12 (x + y) / 2 = 78 Solve for x in the 1st equation x - y = 12 x - y + y = 12 + y x + 0 = 12 + y x = 12 + y Substitute 12 + y for x in the 2nd equation (x + y) / 2 = 78 (12 + y + y) / 2 = 78 Solve for y (12 + y + y) / 2 = 78 (12 + 2y) / 2 = 78 (12 / 2) + (2y) / 2 = 78 6 + y = 78 6 - 6 + y = 78 - 6 0 + y = 78 - 6 y = 72 Substitute 72 for y in the 1st equation x = 12 + y x = 12 + 72 x = 84 >>> the final answer is: x = weight of 1st package, the heavier package = 84 ounces y = weight of 2nd package = 72 ounces ------------------------------------- check the answer: The difference between the weights of two packages is 12 ounces x - y = 12 84 - 72 = 12 12 = 12, OK the mean (or average) of the weights is 78 ounces (x + y) / 2 = 78 (84 + 72) / 2 = 78 (156) / 2 = 78 78 = 78, OK Thanks for writing. Staff www.solving-math-problems.com

 Sep 18, 2013 Math for dummies by: Ned Thank a million for your help.I am browsing the internet and just happen to come up to this site,Is there a email address so I may be able to go on your site directly. thanks again