document.write( "Question 464510: Ken and Vince have $1002. Ken and Leon have $1342. The ratio of Vince to Leon's money is 2:7. How much does Ken have? \n" ); document.write( "

Algebra.Com's Answer #318234 by stanbon(75887) $\"\"$ $\"About$

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Ken and Vince have $1002. Ken and Leon have $1342. The ratio of Vince to Leon's money is 2:7. How much does Ken have?
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\n" ); document.write( "K + V = 1002
\n" ); document.write( "K + L = 1342
\n" ); document.write( "---
\n" ); document.write( "Subtract to get:
\n" ); document.write( "L - V = 342
\n" ); document.write( "=====================
\n" ); document.write( "V/L = 2/7
\n" ); document.write( "V = (2/7)L
\n" ); document.write( "==================
\n" ); document.write( "Substitute and solve for \"L\"
\n" ); document.write( "L - V = 342
\n" ); document.write( "L - (2/7)L = 342
\n" ); document.write( "(5/7)L = 342
\n" ); document.write( "L = 7*342/5
\n" ); document.write( "L = 478.8
\n" ); document.write( "---
\n" ); document.write( "Solve for \"K\":
\n" ); document.write( "K + L = 1342
\n" ); document.write( "K + 478.8 = 1342
\n" ); document.write( "Ken's amount = $863,20
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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