document.write( "Question 899897: Amy bought 3 burgers and 5 pies for 226 pesos. Ana bought 7 burgers and 2 hotdogs for 227 pesos. Leonardo bought 5 pies and 8 hotdogs for 322 pesos. How much would Donatello pay if he will buy a burger, a pie, and a hotdog? \n" ); document.write( "
Algebra.Com's Answer #545660 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! 3b+0*h+5p=226 \n" ); document.write( "7b+2h+0*p=227 \n" ); document.write( "0*b+8h+5p=322 \n" ); document.write( "3,0,5,226 \n" ); document.write( "7,2,0,227 \n" ); document.write( "0,8,5,322\r \n" ); document.write( "\n" ); document.write( "divide row 1 by 3 \n" ); document.write( "1,0,5/3,226/3 \n" ); document.write( "7,2,0,227 \n" ); document.write( "0,8,5,322\r \n" ); document.write( "\n" ); document.write( "add down (-7) *row 1 to row 2 \n" ); document.write( "1,0,5/3,226/3 \n" ); document.write( "0,2,-35/3,-901/3 \n" ); document.write( "0,8,5,322\r \n" ); document.write( "\n" ); document.write( "add down (0) *row 1 to row 3 \n" ); document.write( "1,0,5/3,226/3 \n" ); document.write( "0,2,-35/3,-901/3 \n" ); document.write( "0,8,5,322\r \n" ); document.write( "\n" ); document.write( "divide row 2 by 2 \n" ); document.write( "1,0,5/3,226/3 \n" ); document.write( "0,1,-35/6,-901/6 \n" ); document.write( "0,8,5,322\r \n" ); document.write( "\n" ); document.write( "add down (-8) *row 2 to row 3 \n" ); document.write( "1,0,5/3,226/3 \n" ); document.write( "0,1,-35/6,-901/6 \n" ); document.write( "0,0,310/6,9140/6\r \n" ); document.write( "\n" ); document.write( "divide row 3 by 155/3 \n" ); document.write( "1,0,5/3,226/3 \n" ); document.write( "0,1,-35/6,-901/6 \n" ); document.write( "0,0,1,13710/465\r \n" ); document.write( "\n" ); document.write( "We now have the value for the last variable. \n" ); document.write( "We will work our way up and get the other solutions.\r \n" ); document.write( "\n" ); document.write( "add up (35/6) *row 3 to row 2 \n" ); document.write( "1,0,5/3,226/3 \n" ); document.write( "0,1,0,24354/1116 \n" ); document.write( "0,0,1,914/31\r \n" ); document.write( "\n" ); document.write( "add up (-5/3) *row 3 to row 1 \n" ); document.write( "1,0,0,7308/279 \n" ); document.write( "0,1,0,1353/62 \n" ); document.write( "0,0,1,914/31\r \n" ); document.write( "\n" ); document.write( "add up (0) *row 2 to row 1 \n" ); document.write( "1,0,0,50344/1922 \n" ); document.write( "0,1,0,1353/62 \n" ); document.write( "0,0,1,914/31\r \n" ); document.write( "\n" ); document.write( "final \n" ); document.write( "1,0,0,812/31 \n" ); document.write( "0,1,0,1353/62 \n" ); document.write( "0,0,1,914/31\r \n" ); document.write( "\n" ); document.write( "1,0,0,812/31 = 26.1935484 \n" ); document.write( "0,1,0,1353/62 = 21.8225806 \n" ); document.write( "0,0,1,914/31 = 29.483871 \n" ); document.write( "\"812/31\",\"1353/62\",\"914/31\" \n" ); document.write( "(812/31,1353/62,914/31)\r \n" ); document.write( "\n" ); document.write( "26.1935484+21.8225806+29.483871=77.5 \n" ); document.write( "add all three to get 77.5 for one of each \n" ); document.write( " |