To find: How much 12-karat gold should be mixed with pure gold to obtain 60 grams of 16-karat gold?
Answer to Problem 43AYU
Mix 20 g of pure gold with 40 g .
Explanation of Solution
Given:
The purity of gold is measured in karats, with pure gold being 24 karats. Other purities of gold are expressed as proportional parts of pure gold. Thus, 18-karat gold is , or pure gold; 12-karat gold is , or pure gold; and so on.
Calculation:
Gold
Now set up an equation to solve for pure gold 12k gold.
We know we have 60 grams total weight and 40 g of gold.
Let X be the amount of pure gold in the mixture, then the amount of 12 k gold is .
Gold content
So we need to mix 20 g of pure gold with 40 g of 12 k gold to get 60 g of 1.
Chapter A.8 Solutions
Precalculus Enhanced with Graphing Utilities
Additional Math Textbook Solutions
Intro Stats, Books a la Carte Edition (5th Edition)
College Algebra with Modeling & Visualization (5th Edition)
A First Course in Probability (10th Edition)
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Basic Business Statistics, Student Value Edition
College Algebra (7th Edition)
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning