document.write( "Question 550116: When several boys tried to divide a sum of money by giving 10 dollar to each boy,7 boy got nothing.when each boy took 9 dollar,the had 7 dollar left over.what is the sum of the number of money and the number of boys? \n" ); document.write( "
Algebra.Com's Answer #358465 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! When several boys tried to divide a sum of money by giving 10 dollars to each boy, 7 boys got nothing. \n" ); document.write( "When each boy took 9 dollars, they had 7 dollars left over. \n" ); document.write( "What is the sum of the number of money and the number of boys? \n" ); document.write( ": \n" ); document.write( "Let a = total amt of money \n" ); document.write( "Let b = no. of boys involved \n" ); document.write( ": \n" ); document.write( "Equation for each statement: \n" ); document.write( ": \n" ); document.write( "\"When several boys tried to divide a sum of money by giving 10 dollars to each boy, 7 boys got nothing.\" \n" ); document.write( " \n" ); document.write( "a = 10(b-7) \n" ); document.write( "a = 10b - 70 \n" ); document.write( ": \n" ); document.write( "\"When each boy took 9 dollars, they had 7 dollars left over.\" \n" ); document.write( " \n" ); document.write( "a - 7 = 8b \n" ); document.write( "a = 9b + 7 \n" ); document.write( ": \n" ); document.write( "In the 1st equation, replace a with (9b+7) \n" ); document.write( "9b + 7 = 10b - 70 \n" ); document.write( "7 + 70 = 10b - 9b \n" ); document.write( "b = 77 boys \n" ); document.write( ": \n" ); document.write( "Find a \n" ); document.write( "a = 9b + 7 \n" ); document.write( "a = 9(77) + 7 \n" ); document.write( "a = 693 + 7 \n" ); document.write( "a = $700 is the amt \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check this in the 1st equation \n" ); document.write( "a = 10b - 70 \n" ); document.write( "700 = 10(77) - 70 \n" ); document.write( "700 = 770 - 70; confirms our solution of: 77 boys, $700 \n" ); document.write( " |