document.write( "Question 1205512: Hi
\n" ); document.write( "Tom and John paid for a present in the ratio of 7 to 4 respectively. In doing so John spent a quarter of his money and Tom had $99 left. If the ratio of the amount of Tom's money to John's money was 5 to 2 respectively before they bought the present, how much did the present cost.
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Algebra.Com's Answer #842370 by josgarithmetic(39630)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "PERSON     ORIGINAL        SPENT         REMAINING MONEYS\r\n" );
document.write( "Tom           t             x                99\r\n" );
document.write( "John          j            j/4               3j/4\r\n" );
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\n" ); document.write( "Ratio tom to john before any spending
\n" ); document.write( "\"t%2Fj=5%2F2\"\r
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\n" ); document.write( "\n" ); document.write( "Ratio of money remaining for each after spending
\n" ); document.write( "\"x%2F%28j%2F4%29=7%2F4\"\r
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\n" ); document.write( "\n" ); document.write( "Tom's remaining money, 99.
\n" ); document.write( "\"t-x=99\"\r
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\n" ); document.write( "\n" ); document.write( "System of equations
\n" ); document.write( "\"system%284x%2Fj=7%2F4%2Ct%2Fj=5%2F2%2Ct-x=99%29\"\r
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\n" ); document.write( "\n" ); document.write( ".\r
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\n" ); document.write( "\n" ); document.write( "\"system%2816x=7j%2C2t=5j%2Ct=x%2B99%29\"\r
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\n" ); document.write( "\n" ); document.write( "Substituting for t,
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\n" ); document.write( "\"system%2816x-7j=0%2C2x-5j=-198%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"system%28j=48%2Ct=120%2Cx=21%29\"\r
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\n" ); document.write( "\n" ); document.write( "What the present cost:
\n" ); document.write( "\"x%2Bj%2F4\"\r
\n" ); document.write( "\n" ); document.write( "\"21%2B48%2F4\"\r
\n" ); document.write( "\n" ); document.write( "\"21%2B12\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%2833%29\"
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