document.write( "Question 350705: if you have $19.75 and a total of 100 coins, how many dimes is there? \n" ); document.write( "

Algebra.Com's Answer #250700 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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if you have $19.75 and a total of 100 coins, how many dimes is there?
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\n" ); document.write( "This solution is based on the fact that you only have dimes and quarters
\n" ); document.write( "d = no. dimes
\n" ); document.write( "q = no. of quarters
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\n" ); document.write( "The total coin equation
\n" ); document.write( "d + q = 100
\n" ); document.write( "q = (100-d)
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\n" ); document.write( "The total value equation
\n" ); document.write( ".10d + .25q = 19.75
\n" ); document.write( "Replace q with (100-d)
\n" ); document.write( ".10d + .25(100-d) = 19.75
\n" ); document.write( ".10d + 25.00 - .25d = 19.75
\n" ); document.write( ".10d - .25d = 19.75 - 25.00
\n" ); document.write( "-.15d = -5.25
\n" ); document.write( "d = $\"%28-5.25%29%2F%28-.15%29\"$
\n" ); document.write( "d = 35 dimes
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\n" ); document.write( "to check this, 100 - 35 = 65 quarters
\n" ); document.write( ".10(35) + .25(65) =
\n" ); document.write( "3.50 + 16.25 = 19.75, confirms our solution of 35 dimes \n" ); document.write( "

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