document.write( "Question 473291: Hi tutors, here's a challenging 5th grade word problem which I truly have no idea to work it out.\r
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document.write( "William and Grace have $87. Grace and Siti have $115. William has 3/7 of Siti's amount. How much money does Grace have at first?\r
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document.write( "Please help. Thank you. \n" );
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Algebra.Com's Answer #324566 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! William and Grace have $87. Grace and Siti have $115. William has 3/7 of Siti's amount. How much money does Grace have at first? \n" ); document.write( "------ \n" ); document.write( "W + G = 87 \n" ); document.write( "S + G = 115 \n" ); document.write( "W = (3/7)S \n" ); document.write( "----- \n" ); document.write( "I'm not sure how 5th graders solve these but \n" ); document.write( "this is one way to do it. \n" ); document.write( "---- \n" ); document.write( "Substitute for W to get 2 equations in S and G \n" ); document.write( "---- \n" ); document.write( "(3/7)S + G = 87 \n" ); document.write( "S + G = 115 \n" ); document.write( "---------------------- \n" ); document.write( "Subtract and solve for \"S\": \n" ); document.write( "(4/7)S = 28 \n" ); document.write( "--- \n" ); document.write( "S = (7/4)28 \n" ); document.write( "S = 7*7 \n" ); document.write( "Siti has has $49 \n" ); document.write( "---- \n" ); document.write( "Solve for \"G\": \n" ); document.write( "S + G = 115 \n" ); document.write( "49 + G = 115 \n" ); document.write( "Grace has $66 \n" ); document.write( "------ \n" ); document.write( "Solve for W: \n" ); document.write( "W = (3/7)S \n" ); document.write( "W = (3/7)49 = 3*7 = $21 \n" ); document.write( "============================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============== \n" ); document.write( " |