document.write( "Question 619549: Hello, I would like some help with this problem,
\n" ); 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 $
\n" ); document.write( "1550. How much did each girl save? \r
\n" ); document.write( "\n" ); document.write( "Thank you.
\n" ); document.write( "

Algebra.Com's Answer #389689 by stanbon(75887)\"\" \"About 
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( "
\n" );