document.write( "Question 466169: Joe orders an 8 ounce martini that is 4.7% vermouth. sue orders an 8 ounce martini that is 100% gin. a martini is made with gin and vermouth. Joe and Sue give the drinks to Jane. Jane would like to mix a portion of each drink, so that she has an 8 ounce martini that is 99.8% gin. How much does Jane use of each drink? \n" ); document.write( "
Algebra.Com's Answer #319542 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Joe orders an 8 ounce martini that is 4.7% vermouth. \n" ); document.write( "sue orders an 8 ounce martini that is 100% gin. \n" ); document.write( " a martini is made with gin and vermouth. \n" ); document.write( "Joe and Sue give the drinks to Jane. \n" ); document.write( "Jane would like to mix a portion of each drink, so that she has an 8 ounce martini that is 99.8% gin. \n" ); document.write( " How much does Jane use of each drink? \n" ); document.write( ": \n" ); document.write( "Let x = amt of Sue's drink which is pure gin \n" ); document.write( "then \n" ); document.write( "(8-x) = amt of Joe's drink which is 4.7% vermouth \n" ); document.write( "Change Joes drink to per cent gin: \n" ); document.write( "100 - 4.7 = 95.3% gin \n" ); document.write( ": \n" ); document.write( "Write a decimal equiv of per cent gin equation \n" ); document.write( "Sues + Joes = Jane's \n" ); document.write( "x + .953(8-x) = .998(8) \n" ); document.write( "x + 7.624 - .953x = 7.984 \n" ); document.write( "x - .953x = 7.984 - 7.624 \n" ); document.write( ".047x = .36 \n" ); document.write( "x = \n" ); document.write( "x = 7.66 oz of pure gin from Sue's drink \n" ); document.write( "then \n" ); document.write( "8 - 7.66 = .34 oz of Joe's drink \n" ); document.write( " |