document.write( "Question 551039: if the number of dimes are 4 less than 5 times the quarter find how many of each type does he have
\n" ); document.write( " and the total is $1.85 \n" ); document.write( "

Algebra.Com's Answer #359341 by oberobic(2304) $\"\"$ $\"About$

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d = number of dimes
\n" ); document.write( "10d = value of dimes in cents
\n" ); document.write( "q = number of quarters
\n" ); document.write( "25q = value of quarters in cents
\n" ); document.write( ".
\n" ); document.write( "The number of dimes is 4 less than 5 times the number of quarters.
\n" ); document.write( "d = 5*q -4
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\n" ); document.write( "10d + 25q = 185 cents
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\n" ); document.write( "Substitute
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\n" ); document.write( "10*(5q-4) + 25q = 185
\n" ); document.write( ".
\n" ); document.write( "50q -40 +25q = 185
\n" ); document.write( ".
\n" ); document.write( "75q = 225
\n" ); document.write( ".
\n" ); document.write( "q = 3
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\n" ); document.write( "d = 5*3-4 = 11
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\n" ); document.write( "Check the values.
\n" ); document.write( "25*3 = 75 cents
\n" ); document.write( "11*10 = 110 cents
\n" ); document.write( "75+110 = 185 cents
\n" ); document.write( "Correct.
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\n" ); document.write( "Answer: 3 quarters and 11 dimes.
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\n" ); document.write( "Done. \n" ); document.write( "

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