document.write( "Question 1099901: Isko wants to mix raisins worth 14 pesos per pound and nuts worth 22 pesos to make 25 pounds of a mixture worth 16 pesos per pound. How many pounds of raisins and how many pounds of nuts should he use? Answer using decimals, rounded off to the hundredths place. \n" ); document.write( "

Algebra.Com's Answer #714403 by ikleyn(52943) $\"\"$ $\"About$

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

\r\n" );
document.write( "Let x be the amount of raisins (in pounds) to be mix. \r\n" );
document.write( "\r\n" );
document.write( "Then the amount of nuts is (25-x) pounds.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "x pounds of raisin cost 14x pesos.\r\n" );
document.write( "\r\n" );
document.write( "(25-x) pounds of nuts cost 22*(25-x) pesos.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The total cost for ingredients is  14x + 22*(25-x).\r\n" );
document.write( "\r\n" );
document.write( "Isko wants 25 pounds of the mixture cost 16 pesos per pound. In other words,\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( " = 16  pesos per pound.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It is your basic \"money\" (or \"price\") equation.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "To solve it, multiply both sides by 25. You will get\r\n" );
document.write( "\r\n" );
document.write( "14x + 22*(25-x) = 16*25,   or\r\n" );
document.write( "\r\n" );
document.write( "14x + 550 - 22x = 400,   or\r\n" );
document.write( "\r\n" );
document.write( "-8x = 400 - 550 = 150  ====>  x =  = 18.75.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Answer.  Isko should mix  18.75 pounds of raisins with  25-18.75 = 6.25 pounds of nuts.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Check.   (18.75*14 + 6.25*22)/25 = 16 pesos per pound.  ! Correct !\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );