document.write( "Question 427285: the ratio of income of two persons is 9:7 and ratio of thier expendature is 4:3. If each one of them saves Rs.200per month.Find their monthly incomes? \n" ); document.write( "
Algebra.Com's Answer #297223 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! the ratio of income of two persons is 9:7 and ratio of their expenditure is 4:3. \n" ); document.write( " If each one of them saves Rs.200 per month, find their monthly incomes? \n" ); document.write( ": \n" ); document.write( "let the gross income multiplier = x \n" ); document.write( "let the expenditure multiplier = y \n" ); document.write( ": \n" ); document.write( "9x - 4y = 200 \n" ); document.write( "7x - 3y = 200 \n" ); document.write( ": \n" ); document.write( "Multiply the 1st equation by -3, multiply the 2nd equation by 4, results \n" ); document.write( "-27x + 12y = -600 \n" ); document.write( " 28x - 12y = 800 \n" ); document.write( "-------------------addition eliminates y, find x: \n" ); document.write( "x = 200 \n" ); document.write( "then \n" ); document.write( "9*200 = $1800 is one income \n" ); document.write( "7*200 = $1400 is the other income \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check solution by finding the expenditure multiplier \n" ); document.write( "1800 - 4y = 200 \n" ); document.write( "-4y = 200 - 1800 \n" ); document.write( "-4y = -1600 \n" ); document.write( "y = \n" ); document.write( "y = 400 is the multiplier \n" ); document.write( "then \n" ); document.write( "4(400) = 1600 spent by one guy \n" ); document.write( "3(400) = 1200 spent by the other guy ($200 saved by both) \n" ); document.write( " |