document.write( "Question 537683: You are about to take a test that contains computation problems worth 4 points each and word problems worth 7 points each. You can do a computation problem in 2 minutes and a word problem in 4 minutes. You have 48 minutes to take the test and may answer no more than 14 problems. Assume that you answer all the problems attempted correctly. \n" ); document.write( "
Algebra.Com's Answer #353002 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! : \n" ); document.write( "You are about to take a test that contains computation problems worth 4 points each and word problems worth 7 points each. \n" ); document.write( " You can do a computation problem in 2 minutes and a word problem in 4 minutes. You have 48 minutes to take the test and may answer no more than 14 problems. \n" ); document.write( " Assume that you answer all the problems attempted correctly. \n" ); document.write( ": \n" ); document.write( "Let w = no. of word problems \n" ); document.write( "Let c = no. of Computation problems \n" ); document.write( ": \n" ); document.write( "Time equation \n" ); document.write( "2c + 4w = 48 \n" ); document.write( ": \n" ); document.write( "No. of problems equation \n" ); document.write( "c + w = 14 \n" ); document.write( "multiply above equation by -2, add to the 1st equation \n" ); document.write( "2c + 4w = 48 \n" ); document.write( "-2c -2w = -28 \n" ); document.write( "---------------addition eliminates c, find w \n" ); document.write( "2w = 20 \n" ); document.write( "w = 10 word problems \n" ); document.write( "then \n" ); document.write( "14-10 = 4 computation problems \n" ); document.write( " |