document.write( "Question 1028993: jenny has twice as much as money as kristy. If I give kristy $250, she will have 3x as much as Jenny. How much did each of them have originally? \n" ); document.write( "

Algebra.Com's Answer #644053 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+J+\"$ = original amount Jenny has
\n" ); document.write( "Let $\"+k+\"$ = original amount Kristy has
\n" ); document.write( "--------------------
\n" ); document.write( "(1) $\"+j+=+2k+\"$
\n" ); document.write( "(2) $\"+k+%2B+250+=+3j+\"$
\n" ); document.write( "------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+k+%2B+250+=+3%2A2k+\"$
\n" ); document.write( "(2) $\"+k+%2B+250+=+6k+\"$
\n" ); document.write( "(2) $\"+5k+=+250+\"$
\n" ); document.write( "(2) $\"+k+=+50+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+j+=+2k+\"$
\n" ); document.write( "(1) $\"+j+=+2%2A50+\"$
\n" ); document.write( "(1) $\"+j+=+100+\"$
\n" ); document.write( "------------------
\n" ); document.write( "Originally,
\n" ); document.write( "Jenny had $100
\n" ); document.write( "Kristy had $50
\n" ); document.write( "---------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+k+%2B+250+=+3j+\"$
\n" ); document.write( "(2) $\"+50+%2B+250+=+3%2A100+\"$
\n" ); document.write( "(2) $\"+300+=+300+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );