document.write( "Question 1129133: three girls share a packet of sweet. the first received 2/5 of the sweets. the second received 5/9 of the remainder and the third got 8 sweets.how many sweet were in the packet? \n" ); document.write( "
Algebra.Com's Answer #745690 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! three girls share a packet of sweet. the first received 2/5 of the sweets. \n" ); document.write( " the second received 5/9 of the remainder and the third got 8 sweets. \n" ); document.write( "how many sweet were in the packet? \n" ); document.write( ": \n" ); document.write( "let a = total amt of sweets \n" ); document.write( "change 2/5 to .4, simplify dealing with fractions \n" ); document.write( "a = .4a + \n" ); document.write( "a = .4a + \n" ); document.write( "multiply equation by 9 to get rid of the denominator \n" ); document.write( "9a = 9(.4a) + 5(.6a) + 9(8) \n" ); document.write( "9a = 3.6a + 3a + 72 \n" ); document.write( "9a = 6.6a + 72 \n" ); document.write( "9a - 6.6a = 72 \n" ); document.write( "2.4a = 72 \n" ); document.write( "a = 72/2.4 \n" ); document.write( "a = 30 sweets in the packet \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "See if that checks out \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "3rd girl: 8 \n" ); document.write( "---------------- \n" ); document.write( "total 30\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |