document.write( "Question 419588: Cathy has $2.30 in dimes and quarters if the number of dimes is 5 less than the numbers of quarters, how many coins of each type does she have? \n" ); document.write( "

Algebra.Com's Answer #293374 by algebrahouse.com(1659) $\"\"$ $\"About$

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\"Cathy has $2.30 in dimes and quarters if the number of dimes is 5 less than the numbers of quarters, how many coins of each type does she have?\"\r
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\n" ); document.write( "\n" ); document.write( "x = number of quarters
\n" ); document.write( "x - 5 = number of dimes {number of dimes is five less than number of quarters}\r
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\n" ); document.write( "\n" ); document.write( "25x + 10(x - 5) = 230 {value of each coin multiplied by number of coins equals total value}
\n" ); document.write( "25x + 10x - 50 = 230 {used distributive property}
\n" ); document.write( "35x - 50 = 230 {combined like terms}
\n" ); document.write( "35x = 280 {added 50 to both sides}
\n" ); document.write( "x = 8 {divided both sides by 35}
\n" ); document.write( "x - 5 = 3 {substituted 8, in for x, into x - 5}\r
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\n" ); document.write( "\n" ); document.write( "8 quarters and 3 dimes
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