document.write( "Question 1119566: Samantha has 9 coins worth a total of $1.35, which consist only of dimes and quarters. How many of each does she have?. \n" ); document.write( "

Algebra.Com's Answer #735124 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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let d = no. of dimes
\n" ); document.write( "let q = no. of quarters
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each phrase
\n" ); document.write( ":
\n" ); document.write( "\"Samantha has 9 coins\"
\n" ); document.write( "d + q = 9
\n" ); document.write( "\" worth a total of $1.35,\"
\n" ); document.write( ".10d + .25q = 1.35
\n" ); document.write( "multiply equation by 10
\n" ); document.write( "1d + 2.5q = 13.5
\n" ); document.write( ":
\n" ); document.write( "use elimination with these two equations
\n" ); document.write( "d + 2.5q = 13.5
\n" ); document.write( "d + q = 9
\n" ); document.write( "-------------------subtraction eliminates d, find q
\n" ); document.write( "0 + 1.5q = 4.5
\n" ); document.write( "q = 4.5/1.5
\n" ); document.write( "q = 3 quarters
\n" ); document.write( "therefore
\n" ); document.write( "d + 3 = 9
\n" ); document.write( "d = 6 dimes
\n" ); document.write( ":
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\n" ); document.write( "Check
\n" ); document.write( "3*.25 = .75
\n" ); document.write( "6*.10 = .60
\n" ); document.write( "-------------
\n" ); document.write( "total $ 1.35
\n" ); document.write( " \n" ); document.write( "

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