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A jeweler has 5 rings, each weighing 12 g, made of an alloy of 15% silver and 85% gold. She decides to melt down the rings and add enough silver to reduce the gold content to 68%. How much silver should she add?

A jeweler has 5 rings, each weighing 12 g, made of an alloy of 15% silver and 85% gold. She decides to melt down the rings and add enough silver to reduce the gold content to 68%. How much silver should she add?

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter1: Introduction To Algebra
Section1.6: Translating Problems Into Equations
Problem 2E
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A jeweler has 5 rings, each weighing 12 g, made of an alloy of 15% silver and 85% gold. She decides to melt down the rings and add enough silver to reduce the gold content to 68%. How much silver should she add?
  g?

Expert Solution
Step 1

There are 5 rings each weighing 12g⇒Total weight =Number of rings×Weight of each ring=5×12=60g

 

Amount of gold in 60g=85% of 60=85100×60=51g

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