document.write( "Question 1078373: how many pounds of cashews costing $8.00 per pound must be mixed with peanuts costing $3.00 per pound to make a 25 pound mixture that costs $5.00 per pound \n" ); document.write( "

Algebra.Com's Answer #692864 by ikleyn(52862) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "Let x be the amount (in pounds) of cashews costing $8.00 per pound to be mixed.\r\n" );
document.write( "\r\n" );
document.write( "Then the amount of peanuts costing $3.00 per pound is (25-x)\r\n" );
document.write( "\r\n" );
document.write( "The equation based on the price of the mixture is\r\n" );
document.write( "\r\n" );
document.write( "8x + 3(25-x) = 25*5.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Simplify and solve for x:\r\n" );
document.write( "\r\n" );
document.write( "8x + 75 - 3x = 125,\r\n" );
document.write( "\r\n" );
document.write( "5x = 50   --->   x = {50/5}}} = 10.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Answer.  10 pounds 0f the $8.00 cashew is to be mixed with 15 pounds of the $3.00 peanuts.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Chheck.  $8*10 + $3*15 = 80 + 45 = 125 dollars.\r\n" );
document.write( "\r\n" );
document.write( "          $25*5 = 125 dollars.  Correct !!\r\n" );
document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "There is entire bunch of lessons covering various types of mixture problems\r
\n" ); document.write( "\n" ); document.write( "    - Mixture problems\r
\n" ); document.write( "\n" ); document.write( "    - More Mixture problems\r
\n" ); document.write( "\n" ); document.write( "    - Solving typical word problems on mixtures for solutions \r
\n" ); document.write( "\n" ); document.write( "    - Word problems on mixtures for antifreeze solutions \r
\n" ); document.write( "\n" ); document.write( "    - Word problems on mixtures for dry substances like coffee beans, nuts, cashew and peanuts\r
\n" ); document.write( "\n" ); document.write( "    - Word problems on mixtures for dry substances like candies, dried fruits\r
\n" ); document.write( "\n" ); document.write( "    - Word problems on mixtures for dry substances like soil and sand\r
\n" ); document.write( "\n" ); document.write( "    - Word problems on mixtures for alloys \r
\n" ); document.write( "\n" ); document.write( "    - Typical word problems on mixtures from the archive\r
\n" ); document.write( "\n" ); document.write( "    - OVERVIEW of lessons on word problems for mixtures\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Read them and become an expert in solution the mixture word problems.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Mixture problems\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );