document.write( "Question 283890: Could somebody please explain to me *clearly* how to solve mixture problems? I've been trying to figure them out, but I just don't understand all of it. For example, how would you set up an equation for a problem like this?\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( " 2.) Brianna has 2 pounds of brand 176 nuts that sell for $3 a pound. She also has brand 391 nuts that sell for $1.74 a pound. If she wants a mixture of nuts that sell for $2.58 a pound, how many pounds of brand 391 should she add?\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "How do you come to that conclusion? \r
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "Please help! :) \n" );
document.write( "
Algebra.Com's Answer #206031 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! First of all the brand names are only going to lead to confusion so let's change that. \n" ); document.write( "let call brand 391 t for three \n" ); document.write( "and brand 176 o for one \n" ); document.write( "what do we know? \n" ); document.write( "brand o sells for $3.00 lb \n" ); document.write( "and she has 2 lbs of brand o so o=2 \n" ); document.write( "brand t sells for 1.74 lb \n" ); document.write( "but we don't know how much she has of brand t . We will call it t \n" ); document.write( "We want to sell a mix (o+t) for 2.58.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So how do we set up an equation? \n" ); document.write( "the individual nuts have to be equal to the mix \n" ); document.write( "What do we want to know?How many lbs of t are we mixing with o \n" ); document.write( "to get o+t \n" ); document.write( "so we are dealing with selling price. \n" ); document.write( "the o selling price is \n" ); document.write( "2*o where o =300 \n" ); document.write( "I am going to convert everything to cents so we don't deal with decimals.\r \n" ); document.write( "\n" ); document.write( "2*300+t*174=(2+t)*258 \n" ); document.write( "solve for t \n" ); document.write( " \n" ); document.write( " |