document.write( "Question 1168246: Hi
\n" ); document.write( "Jack had some 20cent and 10cent coins. When he used 1/3 of them he had $9.60 left. He used half as many 20cent as 10 cent coins.\r
\n" ); document.write( "\n" ); document.write( "How many 20 cent coins did he use.\r
\n" ); document.write( "\n" ); document.write( "Thanks
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Algebra.Com's Answer #792912 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
let the number of 20cent coins be \"x\" and the number of 10cent coins \"y\"\r
\n" ); document.write( "\n" ); document.write( "amount of money is \"0.20x\" and \"0.10y\"\r
\n" ); document.write( "\n" ); document.write( "he has \"x%2By\" coins all together which gives him $\"0.20x%2B0.10y\" \r
\n" ); document.write( "\n" ); document.write( "when he used \"1%2F3\" of them he had $\"9.60\" left\r
\n" ); document.write( "\n" ); document.write( "\"0.20x%2B0.10y+-%281%2F3%29%280.20x%2B0.10y%29=9.60\".....both sides multiply by \"3\"
\n" ); document.write( "\"0.60x%2B0.30y+-%280.20x%2B0.10y%29=3%2A9.60\"
\n" ); document.write( "\"0.60x%2B0.30y+-0.20x-0.10y=28.80\"
\n" ); document.write( "\"0.4x+%2B+0.2y=28.80\"......both sides multiply by \"10\"
\n" ); document.write( "\"4x+%2B+2y=288\".....both sides divide by \"2\"
\n" ); document.write( "\"2x+%2B+y=144\"\r
\n" ); document.write( "\n" ); document.write( "if he used half as many 20cent as 10 cent coins, then \"x=y%2F2\"\r
\n" ); document.write( "\n" ); document.write( "substitute and solve for \"y\"\r
\n" ); document.write( "\n" ); document.write( "\"2%28y%2F2%29+%2B++y=144\"
\n" ); document.write( "\"y+%2B++y=144\"
\n" ); document.write( "\"2y=144\"
\n" ); document.write( "\"highlight%28y=72%29\"-> the number of \"10\"cent coins\r
\n" ); document.write( "\n" ); document.write( "and \r
\n" ); document.write( "\n" ); document.write( "\"x=y%2F2\"
\n" ); document.write( "\"x=72%2F2\"
\n" ); document.write( "\"highlight%28x=36%29\"->the number of \"20\"cent coins\r
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\n" ); document.write( "\n" ); document.write( "check:\r
\n" ); document.write( "\n" ); document.write( "\"0.20x%2B0.10y=0.20%2A36%2B0.10%2A72=14.40\"\r
\n" ); document.write( "\n" ); document.write( "if he he used \"1%2F3\" of them he had $\"9.60\" left\r
\n" ); document.write( "\n" ); document.write( "\"14.40+-%281%2F3%29%280.20%2A36%2B0.10%2A72%29=9.60\"
\n" ); document.write( "\"14.40+-4.80=9.60\"
\n" ); document.write( "\"9.60=9.60\"->true\r
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