document.write( "Question 162206: The manager of a specialty food store combined almonds that cost $4.50 per pound with walnuts that cost $2.50 per pound. How many pounds of each were used to make a 100-pound mixture that cost $3.23 per pound? \n" ); document.write( "

Algebra.Com's Answer #119521 by jojo14344(1513) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( " $\"A%2BW=100lbs\"$ -------------> EQN 1, Almond and walnuts mixed produced 100lbs
\n" ); document.write( "In EQN 1 we get,
\n" ); document.write( " $\"A=100lbs-W\"$ -------------> EQN 2
\n" ); document.write( "Also take note,
\n" ); document.write( " $\"4.50A%2B2.50W=100lbs%283.23%2Flb%29\"$ -------------------> EQN 3
\n" ); document.write( "Subst. EQN 2 in EQN 3:
\n" ); document.write( " $\"4.50%28100-W%29%2B2.50W=323\"$ , distribute
\n" ); document.write( " $\"450-4.50W-2.50W=323\"$ , combine similar terms
\n" ); document.write( " $\"450-323=4.50-2.50W\"$
\n" ); document.write( " $\"127=2W\"$ --------> $\"cross%28127%2963.5%2Fcross%282%29=cross%282%29W%2Fcross%282%29\"$
\n" ); document.write( " $\"highlight%28W=63.5lbs%29\"$
\n" ); document.write( "For Almonds, go back EQN 2,
\n" ); document.write( " $\"A=100-63.50\"$
\n" ); document.write( " $\"highlight%28A=36.50lbs%29\"$
\n" ); document.write( "In doubt? Go back EQN 3,
\n" ); document.write( " $\"4.50%2836.50%29%2B2.50%2863.50%29=100%283.23%29\"$
\n" ); document.write( " $\"164.25%2B158.75=323\"$
\n" ); document.write( " $\"323=323\"$
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo \n" ); document.write( "

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