document.write( "Question 1036738: five baskets contain coconuts. the first and second baskets together have a total of 52 coconuts. the second and third baskets have 43 coconuts. the third and fourth baskets have 34 coconuts. the fourth and fifth baskets have 30 coconuts. and the first and fifth baskets have 47 coconuts. How many coconuts are in each basket?\r
\n" );
document.write( "\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #651433 by Edwin McCravy(20054)![]() ![]() You can put this solution on YOUR website! five baskets contain coconuts. the first and second \n" ); document.write( "baskets together have a total of 54 coconuts. the \n" ); document.write( "second and third baskets have 38 coconuts. the third \n" ); document.write( "and fourth baskets have 28 coconuts. the fourth and \n" ); document.write( "fifth baskets have 25 coconuts. and the first and \n" ); document.write( "fifth baskets have 49 coconuts. How many coconuts \n" ); document.write( "are in each basket? \n" ); document.write( " \r\n" ); document.write( "Notice that I have changed the number of coconuts in\r\n" ); document.write( "the baskets. I did that so I wouldn't be doing your\r\n" ); document.write( "work for you. You do your problem the exact same way.\r\n" ); document.write( "Use this as a model:\r\n" ); document.write( "\r\n" ); document.write( "Five baskets contain coconuts. \r\n" ); document.write( "\r\n" ); document.write( "A = number of coconuts in the 1st basket.\r\n" ); document.write( "B = number of coconuts in the 2nd basket.\r\n" ); document.write( "C = number of coconuts in the 3rd basket.\r\n" ); document.write( "D = number of coconuts in the 4th basket.\r\n" ); document.write( "E = number of coconuts in the 5th basket.\r\n" ); document.write( "\r\n" ); document.write( "the first and second baskets together have a total of 54 coconuts. \r\n" ); document.write( "A + B = 54\r\n" ); document.write( "\r\n" ); document.write( "the second and third baskets have 38 coconuts. \r\n" ); document.write( "\r\n" ); document.write( " B + C = 38\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "the third and fourth baskets have 28 coconuts. \r\n" ); document.write( "\r\n" ); document.write( " C + D = 28\r\n" ); document.write( "\r\n" ); document.write( "the fourth and fifth baskets have 25 coconuts. \r\n" ); document.write( "\r\n" ); document.write( " D + E = 25\r\n" ); document.write( "\r\n" ); document.write( "and the first and fifth baskets have 49 coconuts. \r\n" ); document.write( "\r\n" ); document.write( "A + E = 49\r\n" ); document.write( "\r\n" ); document.write( "So the system of equations is:\r\n" ); document.write( " \r\n" ); document.write( "(1) A + B = 54\r\n" ); document.write( "(2) B + C = 38\r\n" ); document.write( "(3) C + D = 28\r\n" ); document.write( "(4) D + E = 25\r\n" ); document.write( "(5) A + E = 49\r\n" ); document.write( "\r\n" ); document.write( "Solve (5) for A: A = 49-E, substitute in (1)\r\n" ); document.write( "\r\n" ); document.write( "49-E + B = 54. Solve for B: B = 5+E. Substitute in (2)\r\n" ); document.write( "\r\n" ); document.write( " 5+E + C = 38. Solve for C: C = 33-E. Substitute in (3)\r\n" ); document.write( "\r\n" ); document.write( "33-E + D = 28. Solve for D: D = E-5. Substitute in (4)\r\n" ); document.write( "\r\n" ); document.write( "E-5 + E = 25. Solve for E: 2E = 30, E = 15\r\n" ); document.write( "\r\n" ); document.write( "Substitute E=15 in D = E-5 = 15-5 = 10\r\n" ); document.write( "Substitute E=15 in C = 33-E = 33-15 = 18\r\n" ); document.write( "Substitute E=15 in B = 5+E = 5+15 = 20\r\n" ); document.write( "Substitute E=15 in A = 49-E = 49-15 = 34\r\n" ); document.write( "\r\n" ); document.write( "Now use the above to solve your problem the exact same way. \r\n" ); document.write( "\r\n" ); document.write( "Edwin \n" ); document.write( " \n" ); document.write( " |