document.write( "Question 378654: Roger bought five bags of pretzels and three calculators for $31. Stephen bought twenty bags of pretzels and a calculator for $47. Emily bought two bags of pretzels and five calculators. How much did she pay? \n" ); document.write( "
Algebra.Com's Answer #268931 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Roger bought five bags of pretzels and three calculators for $31. Stephen bought twenty bags of pretzels and a calculator for $47. Emily bought two bags of pretzels and five calculators. How much did she pay? \n" ); document.write( "... \n" ); document.write( "let pretzels cost $x each \n" ); document.write( "calculators cost $y each \n" ); document.write( ".. \n" ); document.write( "ROGER \n" ); document.write( "5x+3y=31............................1 \n" ); document.write( "... \n" ); document.write( "Stephen \n" ); document.write( "20x+y=47............................2 \n" ); document.write( "multiply (10 by -4 \n" ); document.write( "-20x-12y=-124 \n" ); document.write( "add it to(2) \n" ); document.write( "20x-20x+y-12y=-124+47 \n" ); document.write( "-11y=-77 \n" ); document.write( "/-11 \n" ); document.write( "-11y/-11= -77/-11 \n" ); document.write( "y=$ 7 cost of calculator \n" ); document.write( "... \n" ); document.write( "Plug the value of y in (2) \n" ); document.write( "20x+y =47 \n" ); document.write( "20x+7=47 \n" ); document.write( "-7 \n" ); document.write( "20x+7-7=47-7 \n" ); document.write( "20x=40 \n" ); document.write( "/20 \n" ); document.write( "20x/20=40/20 \n" ); document.write( "x= $ 2 the price of pretzels \n" ); document.write( "... \n" ); document.write( "Plug value of x&y to find how much emily paid \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |