document.write( "Question 771765: 7: Your piggy bank contains $19.75 in dimes and quarters. There are 100 coins in all. How many dimes are there?
\n" ); document.write( " i need help, how will i solve this ?
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Algebra.Com's Answer #470439 by Cromlix(4381)\"\" \"About 
You can put this solution on YOUR website!
Dimes = x
\n" ); document.write( "Quarters = y
\n" ); document.write( "x + y = 100.....1
\n" ); document.write( "10x + 25y = 1975....2
\n" ); document.write( "Multiply Eq (1) by 25
\n" ); document.write( "25x + 25y = 2500....3
\n" ); document.write( "10x + 25y = 1975....2
\n" ); document.write( "Subtract (2) from (3)
\n" ); document.write( "15x = 525
\n" ); document.write( "x = 35
\n" ); document.write( "Substitute x = 35 into Eq (1)
\n" ); document.write( "x + y = 100
\n" ); document.write( "35 + y = 100
\n" ); document.write( "y = 100 - 35
\n" ); document.write( "y = 65.
\n" ); document.write( "Therefore there are 35 dimes and 65 quarters.
\n" ); document.write( "Hope this helps.
\n" ); document.write( ":-)
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