document.write( "Question 1026591: alex has the same number of nickels and dimes. his mother gives an additional $4 in nickels and dimes. now alex has twice the nickels and three times the dimes he had before. how much money did he have in the beginning? \n" ); document.write( "
Algebra.Com's Answer #641889 by josmiceli(19441)\"\" \"About 
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Let \"+n%5B1%5D+\" = number of nickels he started with
\n" ); document.write( "Let \"+d%5B1%5D+\" = number of dimes he started with
\n" ); document.write( "Let \"+n%5B2%5D+\" = number of nickels his mother gave him
\n" ); document.write( "Let \"+d%5B2%5D+\" = number of dimes his mother gave him
\n" ); document.write( "--------------------------------------------
\n" ); document.write( "(1) \"+n%5B1%5D+=+d%5B1%5D+\"
\n" ); document.write( "(2) \"+5n%5B2%5D+%2B+10d%5B2%5D+=+400+\" ( in cents )
\n" ); document.write( "(3) \"+n%5B1%5D+%2B+n%5B2%5D+=+2%2An%5B1%5D+\"
\n" ); document.write( "(4) \"+d%5B1%5D+%2B+d%5B2%5D+=+3%2Ad%5B1%5D+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "There are 4 equations and 4 unknowns, so it's solvable
\n" ); document.write( "(3) \"+n%5B1%5D+=+n%5B2%5D+\"
\n" ); document.write( "(4) \"+2d%5B1%5D+=+d%5B2%5D+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+5n%5B2%5D+%2B+10d%5B2%5D+=+400+\"
\n" ); document.write( "(2) \"+5n%5B1%5D+%2B+2%2A10d%5B1%5D+=+400+\"
\n" ); document.write( "and, from (1)
\n" ); document.write( "(2) \"+5d%5B1%5D+%2B+2%2A10d%5B1%5D+=+400+\"
\n" ); document.write( "(2) \"+25d%5B1%5D+=+400+\"
\n" ); document.write( "(2) \"+d%5B1%5D+=+16+\"
\n" ); document.write( "and, from (1),
\n" ); document.write( "(2) \"+n%5B1%5D+=+16+\"
\n" ); document.write( "------------------
\n" ); document.write( "\"+5%2An%5B1%5D+%2B+10%2Ad%5B1%5D+=+5%2A16+%2B+10%2A16+\"
\n" ); document.write( "\"+5%2An%5B1%5D+%2B+10%2Ad%5B1%5D+=+80+%2B+160+\"
\n" ); document.write( "\"+5%2An%5B1%5D+%2B+10%2Ad%5B1%5D+=+240+\"
\n" ); document.write( "He had 240 cents, or $2.40 to start with
\n" ); document.write( "-----------------
\n" ); document.write( "check:
\n" ); document.write( "(3) \"+n%5B1%5D+=+n%5B2%5D+\"
\n" ); document.write( "(3) \"+n%5B2%5D+=+16+\"
\n" ); document.write( "and
\n" ); document.write( "(4) \"+2d%5B1%5D+=+d%5B2%5D+\"
\n" ); document.write( "(4) \"+2%2A16+=+d%5B2%5D+\"
\n" ); document.write( "(4) \"+d%5B2%5D+=+32+\"
\n" ); document.write( "and
\n" ); document.write( "\"+5%2An%5B2%5D+%2B+10%2Ad%5B2%5D+=+5%2A16+%2B10%2A32+\"
\n" ); document.write( "\"+5%2An%5B2%5D+%2B+10%2Ad%5B2%5D+=+80+%2B+320+\"
\n" ); document.write( "\"+5%2An%5B2%5D+%2B+10%2Ad%5B2%5D+=+400+\"
\n" ); document.write( "This is correct -his mother gave him $4.00
\n" ); document.write( "OK
\n" ); document.write( "
\n" );