document.write( "Question 1103656: Debra's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Debra
\n" ); document.write( "$4.15
\n" ); document.write( " per pound, and type B coffee costs
\n" ); document.write( "$5.70
\n" ); document.write( " per pound. This month, Debra made
\n" ); document.write( "144
\n" ); document.write( " pounds of the blend, for a total cost of
\n" ); document.write( "$734.00
\n" ); document.write( ". How many pounds of type B coffee did she use?
\n" ); document.write( "

Algebra.Com's Answer #718355 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+a+\" = pounds of type A needed
\n" ); document.write( "Let \"+b+\" = pounds of type B needed
\n" ); document.write( "---------------------------------------
\n" ); document.write( "(1) \"+a+%2B+b+=+144+\"
\n" ); document.write( "(2) \"+4.15a+%2B+5.7b+=+734+\"
\n" ); document.write( "--------------------------------
\n" ); document.write( "(2) \"+415a+%2B+570b+=+73400+\"
\n" ); document.write( "Multiply both sides of (1) by \"+415+\" and
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "--------------------------------
\n" ); document.write( "(2) \"+415a+%2B+570b+=+73400+\"
\n" ); document.write( "(1) \"+-415a+-+415b+=+-59760+\"
\n" ); document.write( "--------------------------------
\n" ); document.write( "\"+155b+=+13640+\"
\n" ); document.write( "\"+b+=+88+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+a+%2B+b+=+144+\"
\n" ); document.write( "(1) \"+a+%2B+88+=+144+\"
\n" ); document.write( "(1) \"+a+=+56+\"
\n" ); document.write( "-----------------------
\n" ); document.write( "she needs 88 pounds of type B coffee
\n" ); document.write( "-----------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+4.15a+%2B+5.7b+=+734+\"
\n" ); document.write( "(2) \"+4.15%2A56+%2B+5.7%2A88+=+734+\"
\n" ); document.write( "(2) \"+232.4+%2B+501.6+=+734+\"
\n" ); document.write( "(2) \"+734+=+734+\"
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" );