Gold is alloyed with different metals to make it hard enough to be used in jewelry. The amount of gold present in a gold ally is measured in 24ths called karats. 24- karat gold is 100% gold. Similarly, 12-karat gold is 50% gold. How many ounces of 4-karat gold should be added to 8 ounces of 8-karat gold to make an amount of 6-karat gold? Graph equations on coordinate axes with labels and scales. *

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
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
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Gold is alloyed with different metals to make it hard enough to be used in jewelry.
The amount of gold present in a gold ally is measured in 24ths called karats. 24-
karat gold is 100% gold. Similarly, 12-karat gold is 50% gold. How many ounces of
4-karat gold should be added to 8 ounces of 8-karat gold to make an amount of
6-karat gold? Graph equations on coordinate axes with labels and scales. *
Transcribed Image Text:Gold is alloyed with different metals to make it hard enough to be used in jewelry. The amount of gold present in a gold ally is measured in 24ths called karats. 24- karat gold is 100% gold. Similarly, 12-karat gold is 50% gold. How many ounces of 4-karat gold should be added to 8 ounces of 8-karat gold to make an amount of 6-karat gold? Graph equations on coordinate axes with labels and scales. *
Expert Solution
Step 1

It is required to determine the relation for the addition and quality of gold.

Step 2

Let m1 be the quantity of the type of 4 karat gold, m2 be the quantity of the type of 8 karat gold. The quality of the 4 karat, 8 karat and 6 karat gold be x1, x2 and x3 respectively.

 

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