document.write( "Question 156382: Billy has two-thirds as many marbles as Tommy. Jimmy has three-eighths as many marbles as Billy. Together Jimmy and Billy have eight fewer marbles than Tommy. How many marbles does each boy have? \n" ); document.write( "
Algebra.Com's Answer #115179 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Billy has two-thirds as many marbles as Tommy. Jimmy has three-eighths as many marbles as Billy. Together Jimmy and Billy have eight fewer marbles than Tommy. How many marbles does each boy have? \n" ); document.write( "--------------- \n" ); document.write( "EQUATIONS: \n" ); document.write( "B = (2/3)T \n" ); document.write( "J = (3/8)B \n" ); document.write( "J+B = T-8 \n" ); document.write( "---------------- \n" ); document.write( "Rearrange the equations: \n" ); document.write( "3B + 0 -2T = 0 \n" ); document.write( "3B - 8J +0 = 0 \n" ); document.write( "B + J -T =-8 \n" ); document.write( "------------------- \n" ); document.write( "Solve the system of equations by any method to get: \n" ); document.write( "B = 64 \n" ); document.write( "J = 24 \n" ); document.write( "T = 96 \n" ); document.write( "=============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |