document.write( "Question 1021796: Suppose Tom has 21 coins totaling $4.05. If he has only dimes and quarters, how many of each type does he have? \n" ); document.write( "

Algebra.Com's Answer #637505 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "let quarters be $\"q\"$ and dimes $\"d\"$ \r
\n" ); document.write( "\n" ); document.write( "if Tom has $\"21\"$ coins, than \r
\n" ); document.write( "\n" ); document.write( " $\"q%2Bd=21\"$ ............eq.1\r
\n" ); document.write( "\n" ); document.write( "if totaling $ $\"4.05\"$ , than\r
\n" ); document.write( "\n" ); document.write( " $\"0.25q%2B0.10d=4.05\"$ .........eq.2\r
\n" ); document.write( "\n" ); document.write( "start with
\n" ); document.write( " $\"q%2Bd=21\"$ ............eq.1 and solve for $\"q\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"q=21-d\"$
\n" ); document.write( "substitute in eq.2\r
\n" ); document.write( "\n" ); document.write( " $\"0.25%2821-d%29%2B0.10d=4.05\"$ .........eq.2,solve for $\"d\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"5.25-0.25d%2B0.10d=4.05\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"5.25-0.15d=4.05\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"5.25-4.05=0.15d\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"1.20=0.15d\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"d=1.20%2F0.15\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"d=120%2F15\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"highlight%28d=8%29\"$ \r
\n" ); document.write( "\n" ); document.write( "go to
\n" ); document.write( " $\"q=21-d\"$ substitute $\"8\"$ for $\"d\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"q=21-8\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"highlight%28q=13%29\"$ \r
\n" ); document.write( "\n" ); document.write( "so, Tom has $\"highlight%2813%29\"$ quarters and $\"highlight%288%29\"$ dimes
\n" ); document.write( " \n" ); document.write( "

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