document.write( "Question 480463: At the local convenience store, 6 bags of chips and 4 containers of dip cost $34. However, 4 bags of chips and 2 containers of dip cost $20. What is the cost of one bag of chips and one container of dip? \n" ); document.write( "
Algebra.Com's Answer #329034 by mathstutor494(120)![]() ![]() You can put this solution on YOUR website! Let \"c\" and \"d\" be cost per unit bag of chips and container of dip respectively\r \n" ); document.write( "\n" ); document.write( "Given in the problem.... 6 bags of chips and 4 containers of dip cost $34 \n" ); document.write( "which is expressed as \n" ); document.write( "6c+4d=34............(1)\r \n" ); document.write( "\n" ); document.write( "Also given that 4 bags of chips and 2 containers of dip cost $20 \n" ); document.write( "which is expressed as \n" ); document.write( "4c+2d=20........(2)\r \n" ); document.write( "\n" ); document.write( "Multiplying eqn no. 2 by 2 results in \n" ); document.write( "8c+4d=40..........(3)\r \n" ); document.write( "\n" ); document.write( "Subtracting eqn no 1 from 3 results in \n" ); document.write( "(8c+4d)-(6c+4d)=40-34 \n" ); document.write( "8c+4d-6c-4d=6 \n" ); document.write( "2c=6 ( as 4d gets cancelled out) \n" ); document.write( "dividing both sides by 2 \n" ); document.write( "c=3\r \n" ); document.write( "\n" ); document.write( "Now substituting value of c in eqn no.1 to get value of d..... \n" ); document.write( "6*3+4d=34 \n" ); document.write( "18+4d=34 \n" ); document.write( "Subtracting 18 from either side in above equation results in \n" ); document.write( "4d=16 \n" ); document.write( "Dividing both sides by 4 \n" ); document.write( "d=4\r \n" ); document.write( "\n" ); document.write( "Ans : cost of one bag of chips $3 and one container of dip $4 \n" ); document.write( " |