document.write( "Question 1170904: At a local store, Kelly and Martin bought some notebooks and pencils. Kelly bought 4 notebooks and 25 pencils for $16.71. Martin bought 6 notebooks and 20 pencils for $21.74. What is the cost of 1 notebook and 5 pencils? \n" ); document.write( "
Algebra.Com's Answer #795862 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! At a local store, Kelly and Martin bought some notebooks and pencils. \n" ); document.write( " Kelly bought 4 notebooks and 25 pencils for $16.71. \n" ); document.write( " 4n + 25p = 16.71 \n" ); document.write( " Martin bought 6 notebooks and 20 pencils for $21.74. \n" ); document.write( " 6n + 20p = 21.74 \n" ); document.write( ": \n" ); document.write( "multiply the 1st equation by 3, the 2nd equation by 2 \n" ); document.write( "12n + 75p = 50.13 \n" ); document.write( "12n + 40p = 43.48 \n" ); document.write( "--------------------Subtraction eliminates n, find p \n" ); document.write( "0 + 35p = 6.65 \n" ); document.write( "p = 6.65/35 \n" ); document.write( "p = $.19 for each pencil \n" ); document.write( ": \n" ); document.write( "Use the 1st original equation to find n \n" ); document.write( "4n + 25(.19) = 16.71 \n" ); document.write( "4n = 16.71 - 4.75 \n" ); document.write( "4n = 11.96 \n" ); document.write( "n = 11.96/4 \n" ); document.write( "n = $2.99 for each note book \n" ); document.write( ": \n" ); document.write( "Check solutions in the 2nd original equation \n" ); document.write( "6(2.99) + 20(.19) = \n" ); document.write( "17.94 + 3.80 = 21.74 \n" ); document.write( ": \n" ); document.write( "What is the cost of 1 notebook and 5 pencils? \n" ); document.write( "2.99 + 5(.19) = $3.94 \n" ); document.write( " |