document.write( "Question 843829: Joe mixed raisins and nuts. He bought 4 pounds of nuts for a total of $22. The cost per pound of raisins is 60% more than the cost per pound for nuts. Joe bought enough raisins that when he mixed them with the nuts, the mixture had a value of $6.50 per pound. What percent of the mixture, by weight, was raisins? \n" ); document.write( "

Algebra.Com's Answer #508394 by josgarithmetic(39627) $\"\"$ $\"About$

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Price of the nuts:
\n" ); document.write( "22 dollars for 4 pounds.
\n" ); document.write( " $\"22%2F4\"$ dollars per pound,
\n" ); document.write( " $\"%2822%2F4%29%2825%2F25%29=550%2F100\"$ dollars per pound
\n" ); document.write( " $\"5.50\"$ dollars per pound, nuts.
\n" ); document.write( "$5.50 per pound, nuts.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Price of the raisins:
\n" ); document.write( "This price is 60% higher than price of the nuts.
\n" ); document.write( " $\"5.50%2B%280.60%29%285.50%29=%285.50%29%281.60%29=8.80\"$
\n" ); document.write( "$8.80 per pound, raisins.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Mixture Price $6.50 Per Pound.
\n" ); document.write( "How much of each was used?
\n" ); document.write( "n for nuts
\n" ); document.write( "r for raisins.
\n" ); document.write( "-
\n" ); document.write( "EQUATIONS: $\"highlight_green%28n%2Br=100%29\"$ , which is arbitrary but convenient;
\n" ); document.write( " $\"highlight_green%28%285.50n%2B8.80r%29%2F100=6.50%29\"$ .
\n" ); document.write( "Solve these two simultaneous equations for n and r.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Study this lesson to develop a thorough understanding of this type of mixture problem: http://www.algebra.com/tutors/mixture-price-two-part-both-parts-unknown.lesson?content_action=show_dev \n" ); document.write( "

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