Problema Solution

A bag contains 2 steel balls and 5 brass balls. The total weight is 13 pounds. If 2 steel balls are added and 2 brass balls are removed, the weight decreases to 12 pounds. How much does each kind of ball weigh?

Answer provided by our tutors

let


x = the weight of one steel ball


y = the weight of one brass ball


2x + 5y = 13


(2 + 2)x + (5 - 2)y = 12


by solving the above system of equations we find:


x = 1.5 lbs


y = 2 lbs


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one steel ball weighs 1.5 lbs.


one brass ball weighs 2 lbs.