document.write( "Question 147188: Smith has three times as much money as Prakash.If smith gives Rs 750 to Prakash,Prakash will have twice as much as left with smith.How much each had initially? \n" ); document.write( "

Algebra.Com's Answer #107515 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Smith has three times as much money as Prakash.If smith gives Rs 750 to Prakash,Prakash will have twice as much as left with smith.How much each had initially?
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\n" ); document.write( "s = 3p
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\n" ); document.write( "If s gives 750 to p,
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\n" ); document.write( "Then we have:
\n" ); document.write( "s-750
\n" ); document.write( "and
\n" ); document.write( "p+750
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\n" ); document.write( "\"p will have twice as much left as s.\"
\n" ); document.write( "p+750 = 2(s-750)
\n" ); document.write( "p+750 = 2s - 1500
\n" ); document.write( "p = 2s - 1500 - 750
\n" ); document.write( "p = 2s - 2250
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\n" ); document.write( "How much each had initially?
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\n" ); document.write( "Substitute 3p for s in the above equation
\n" ); document.write( "p = 2(3p) - 2250
\n" ); document.write( "+2250 = 6p - p
\n" ); document.write( "p = $\"2250%2F%285p%29\"$
\n" ); document.write( "p = 450 is the initial amt
\n" ); document.write( "and
\n" ); document.write( "s = 3(450) = 1350 initial amt
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\n" ); document.write( "Check solution in the statement:
\n" ); document.write( "\"p will have twice as much left as s.
\n" ); document.write( "(450 + 750) = 2(1350 - 750)
\n" ); document.write( "1200 = 2(600) confirms our solutions \n" ); document.write( "

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