document.write( "Question 619549: Hello, I would like some help with this problem,
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document.write( "Sally,Sarah, and sue worked all summer to save money for school clothes.Sarah saved $50 more than twice as much as Sally,and sue saved $100 more than 1/2 as much as Sally.The total amount saved by the three girls was $
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document.write( "1550. How much did each girl save? \r
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document.write( "Thank you. \n" );
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Algebra.Com's Answer #389689 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Sally,Sarah, and sue worked all summer to save money for school clothes. \n" ); document.write( "Sarah(a) saved $50 more than twice as much as Sally(b) \n" ); document.write( "Sue(c) saved $100 more than 1/2 as much as Sally. \n" ); document.write( "The total amount saved by the three girls was $1550. \n" ); document.write( "---------------------------------------------- \n" ); document.write( "How much did each girl save? \n" ); document.write( "Equations: \n" ); document.write( "a + b + c = 1550 \n" ); document.write( "a = 2b + 50 \n" ); document.write( "c = (1/2)b + 100 \n" ); document.write( "----- \n" ); document.write( "Substitute for \"a\" and \"c\" and solve for \"b\": \n" ); document.write( "(2b+50) + b + (1/2)b + 100 = 1550 \n" ); document.write( "--- \n" ); document.write( "(7/2)b + 150 = 1550 \n" ); document.write( "(7/2)b = 1400 \n" ); document.write( "b = (2/7)*1400 \n" ); document.write( "b = $400 (Sally's share) \n" ); document.write( "a = 2b+50 = $850 (Sarah's share) \n" ); document.write( "c = (1/2)b+100 = $300 (Sue's share) \n" ); document.write( "=================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=================== \n" ); document.write( " |