document.write( "Question 307362: I am REALLY struggling with this one. \r
\n" ); document.write( "\n" ); document.write( "You mix your own feed for the puppies. The feed mix consists of ground meat and ground grains. You mix a total of 100 pounds at a time. The ground meat is 45% protein and the ground grains is 18% protein, find the amount of ground meat and ground grains required for a 100 pound feed mix at the optimum protein level of 28%. Solve this system using the Elimination Method. Round solutions to nearest whole number. The system of equations that I thought should be used is: m + g = 100 and 0.45m + 0.18g = 0.28 but I cannot come up with a sensible solution. Please help!
\n" ); document.write( "

Algebra.Com's Answer #219881 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
The feed mix consists of ground meat and ground grains.
\n" ); document.write( " You mix a total of 100 pounds at a time. The ground meat is 45% protein and the
\n" ); document.write( " ground grains is 18% protein, find the amount of ground meat and ground grains
\n" ); document.write( " required for a 100 pound feed mix at the optimum protein level of 28%.
\n" ); document.write( "Solve this system using the Elimination Method.
\n" ); document.write( "Round solutions to nearest whole number.
\n" ); document.write( " The system of equations that I thought should be used is: m + g = 100 and 0.45m + 0.18g = 0.28
\n" ); document.write( ":
\n" ); document.write( "You are so close:
\n" ); document.write( "the 2nd equation should be .45m + .18g = .28(100)
\n" ); document.write( ":
\n" ); document.write( "Multiply the 1st equation by .18 subtract from the above equation
\n" ); document.write( ".45m + .18g = .28(100)
\n" ); document.write( ".18m + .18g = .18(100)
\n" ); document.write( ":
\n" ); document.write( ".45m + .18g = 28
\n" ); document.write( ".18m + .18g = 18
\n" ); document.write( "----------------- subtraction eliminates g, find m
\n" ); document.write( ".27m = 10
\n" ); document.write( "m = \"10%2F.27\"
\n" ); document.write( "m = 37 lb of meat
\n" ); document.write( ":
\n" ); document.write( "Find grain
\n" ); document.write( "37 + g = 100
\n" ); document.write( "g = 100 - 37
\n" ); document.write( "g = 63 lb of grain
\n" ); document.write( ";
\n" ); document.write( ":
\n" ); document.write( "Check solution in the % equation
\n" ); document.write( ".45(37) + .18(63) = .28(100)
\n" ); document.write( "16.65 + 11.34 = 27.99 ~ 28
\n" ); document.write( "
\n" );