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Algebra
Pregunta

3. Anne and Nancy use a metal alloy that is \( 23....

3. Anne and Nancy use a metal alloy that is \( 23.5 \% \) copper to make jewelry. How many ounces of an alloy that is \( 22 \% \) copper must be mixed with an alloy that is \( 24 \% \) copper to form \( 88 \) ounces of the desired alloy? First model this problem with a system of linear equations, then solve using elimination or substitution. 

Answer

you want the final \( 108 \) oz to be \( 23.5 \% \) 

copper. That means it contains \( 25.38 \) oz of copper So, if there are \( x \) oz of \( 21 \% \) alloy, 

\( .21 x + .30 ( 108 - x ) = .235 ( 108 ) \) 

\( .21 x + 32.4 - .30 x = 25.38 \) 

\( .09 x = 7.02 \) 

\( x = 78 \) 

so, she uses \( 78 \) oz of \( 21 \% \) and \( 30 \) oz of \( 30 \% \) 

Solución
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