document.write( "Question 877167: Ben and Jerry's ice cream sells two flavors: vanilla and chocolate. On a friday, the ratio of vanilla cones sold to chocolate cones was 2:3. If the store had sold 4 more vanilla cones, the ratio of vanilla cones sold to chocolate sold would have been 3:4. How many vanilla cones did the store sell on friday \n" ); document.write( "
Algebra.Com's Answer #529225 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! The original ratio of 2:3 means x/y = 2/3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Add 4 to vanilla to get the ratio of 3:4, so, (x+4)/y = 3/4\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x/y = 2/3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = (2/3)*y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "----------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(x+4)/y = 3/4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4(x+4) = 3y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4x+16 = 3y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4(2/3)y+16 = 3y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(8/3)y+16 = 3y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "16 = 3y - (8/3)y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "16 = (9/3)y - (8/3)y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "16 = [(9/3) - (8/3)]y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "16 = [(9-8)/3]y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "16 = (1/3)y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "16*3 = y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "48 = y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = 48\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "---------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = (2/3)*y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = (2/3)*48\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 96/3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 32\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "---------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "They sold 32 vanilla cones. \n" ); document.write( " |