document.write( "Question 818154: Brian earns twice as much as a tutor as he does pumping gas. His total weekly wages are $150 more than his sister. She earns one quarter as much as Brian does as a tutor. How much does Brian earn as a tutor?\r
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Algebra.Com's Answer #492509 by LinnW(1048)![]() ![]() You can put this solution on YOUR website! Brian earns twice as much as a tutor as he does pumping gas. His total weekly wages are $150 more than his sister. She earns one quarter as much as Brian does as a tutor. How much does Brian earn as a tutor?\r \n" ); document.write( "\n" ); document.write( "B = Brians earnings as tutor \n" ); document.write( "S = Sisters earnings\r \n" ); document.write( "\n" ); document.write( "Since Brian earns twice as much as a tutor as pumping gas, \n" ); document.write( "we can represent the amount he makes pumping gas as (1/2)B.\r \n" ); document.write( "\n" ); document.write( "B + (1/2)B = S + 150 \r \n" ); document.write( "\n" ); document.write( "(3/2)B = S + 150 \n" ); document.write( "S = (1/4)B \n" ); document.write( "If we substitute (1/4)B for S in the first equation we have \n" ); document.write( "(3/2)B = (1/4)B + 150 \n" ); document.write( "Subtract (1/4)B from each side. \n" ); document.write( "(3/2 - 1/4)B = 150 \n" ); document.write( "(6/4 - 1/4)B = 150 \n" ); document.write( "(5/4)B = 150 \n" ); document.write( "Multiply each side by 4/5 \n" ); document.write( " B = (4/5)150 \n" ); document.write( " B = 600/5 \n" ); document.write( " B = 120\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |