document.write( "Question 1207652: Hi
\n" );
document.write( "Jay,Mel and Lynn had 760 stamps. Jay had 8/9 as many as Mel and 6/11 as many as Lynn. If Jay and Lynn shared the stamps equally how many more stamps did Jay have. \n" );
document.write( "
Algebra.Com's Answer #845639 by Theo(13342)![]() ![]() You can put this solution on YOUR website! this is what i get.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "J = the number of stamps jay had. \n" ); document.write( "M = the number of stamps that mel had. \n" ); document.write( "L = the number of stamps that lynn had.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since the total number of stamp is 760, then J + M + L = 760.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "jay had 8/9 as many stamps as mel had, and 6/11 as many stamps as lynn had.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "equations for that are:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "J = 8/9 * M \n" ); document.write( "J = 6/11 * L\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "from these equations, solve for M and L to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "M = 9/8 * J \n" ); document.write( "L 11/6 * J\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "replacing M and L with J in the equation of J + M + L = 760 gets you: \n" ); document.write( "J + 9/8 * J + 11/6 * J = 760 \n" ); document.write( "multiply both sides of this equation by 48 to get: \n" ); document.write( "48J + 54J + 88J = 36480. \n" ); document.write( "combine like terms to get: \n" ); document.write( "190J = 36480. \n" ); document.write( "solve for J to get: \n" ); document.write( "J = 192.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "when J = 192, ..... \n" ); document.write( "M = 9/8 * J gets you M = 216. \n" ); document.write( "L = 11/6 * J gets you L = 352.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the sum is 192 + 216 + 356 which is equal to 760, so this checks out.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you are asked ..... \n" ); document.write( "If Jay and Lynn shared the stamps equally how many more stamps did Jay have?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "my interpretation of what this means is that, if they added the stamps that Jay and Lynn had and divided them in two, then each would get the same amount.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the total stamps between J and L are 192 + 352 = 544. \n" ); document.write( "divide that by 2 to get 272. \n" ); document.write( "this says that, if they divided the stamps equally between them, each would get 272 stamps.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "272 minus 192 = 80. \n" ); document.write( "352 - 272 = 80.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "L would have to give 80 stamps to J so that they would both have 272 stamps each. \n" ); document.write( "jay would get 80 more stamps than he originally had. \n" ); document.write( "i think that's your answer.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |