document.write( "Question 512052: Please help me set up a system of equations from this word problem: Now let us consider fat grams in burgers from three popular fast food restaurants. The number of fat grams in a Whopper exceeds the fat grams in a Big Mac by eleven. If you add the fat grams in a Whopper and a Sonic Cheeseburger, it is seven less than three times the fat grams in a Big Mac. Twice the amount of the fat grams in all three is 222. Find the fat content of each burger using the matrix method. \n" ); document.write( "
Algebra.Com's Answer #342500 by stanbon(75887) ![]() You can put this solution on YOUR website! Please help me set up a system of equations from this word problem: \n" ); document.write( "------------ \n" ); document.write( "Now let us consider fat grams in burgers from three popular fast food restaurants. \n" ); document.write( "The number of fat grams in a Whopper exceeds the fat grams in a Big Mac by eleven. \n" ); document.write( "w = m+11 \n" ); document.write( "-----------------\r \n" ); document.write( "\n" ); document.write( "If you add the fat grams in a Whopper and a Sonic Cheeseburger, it is seven less than three times the fat grams in a Big Mac. \n" ); document.write( "w + s = 3m-7 \n" ); document.write( "-------------------\r \n" ); document.write( "\n" ); document.write( "Twice the amount of the fat grams in all three is 222. \n" ); document.write( "2w + 2m + s = 222 \n" ); document.write( "w + m + s = 111 \n" ); document.write( "------------------------\r \n" ); document.write( "\n" ); document.write( "Find the fat content of each burger using the matrix method. \n" ); document.write( "--- \n" ); document.write( "Rearrange the 3 equations: \n" ); document.write( "w - m + 0 = 11 \n" ); document.write( "w -3m + s = -7 \n" ); document.write( "w + m + s = 111 \n" ); document.write( "------------------- \n" ); document.write( "I used a matrix method to get: \n" ); document.write( "w = 40.5 \n" ); document.write( "m = 29.5 \n" ); document.write( "s = 41 \n" ); document.write( "============= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============== \n" ); document.write( " |