document.write( "Question 886323: A group of students bought 10 barbecues and 12 soft drinks at a cost of Php 320 . Another group of students bought 6 barbecues and 4 soft drinks at a cost of a Php 160. What is the cost of a single barbecue? a single soft drink? \n" ); document.write( "
Algebra.Com's Answer #535843 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A group of students bought 10 barbecues and 12 soft drinks at a cost of Php 320 . Another group of students bought 6 barbecues and 4 soft drinks at a cost of a Php 160. What is the cost of a single barbecue? a single soft drink? \n" ); document.write( "-------- \n" ); document.write( "Value equations: \n" ); document.write( "10b + 12d = 320 \n" ); document.write( "6b + 4d = 160 \n" ); document.write( "-------------------- \n" ); document.write( "Modify for elimination:: \n" ); document.write( "10b + 12d = 320 \n" ); document.write( "18b + 12d = 480 \n" ); document.write( "----- \n" ); document.write( "Subtract and solve for \"b\":: \n" ); document.write( "8b = 160 \n" ); document.write( "b = 20 (cost of a barbeque) \n" ); document.write( "=============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------------- \n" ); document.write( "----- \n" ); document.write( "Solve for \"d\": \n" ); document.write( "6b + 4d = 160 \n" ); document.write( "120 + 4d = 160 \n" ); document.write( "4d - 40 \n" ); document.write( "d = 10 (cost of a soft drink) \n" ); document.write( " |