document.write( "Question 801757: if there are 32 coins total and they are all dimes and quarters and add to 4.70 how many dimes and quarters are there \n" ); document.write( "

Algebra.Com's Answer #483635 by Cromlix(4381) $\"\"$ $\"About$

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Dimes = x
\n" ); document.write( "Quarters = y
\n" ); document.write( "x + y = 32 ......1
\n" ); document.write( "10x + 25y = 470.......2
\n" ); document.write( "Multiply Eq (1) by 25
\n" ); document.write( "25x + 25y = 800........3
\n" ); document.write( "10x + 25y = 470.......2
\n" ); document.write( "Subtract (2) from (3)
\n" ); document.write( "15x = 330
\n" ); document.write( "x = 22
\n" ); document.write( "Substitute x = 22 into
\n" ); document.write( "Equation(1)
\n" ); document.write( "x + y = 32
\n" ); document.write( "22 + y = 32
\n" ); document.write( "y = 10
\n" ); document.write( "22 dimes and 10 quarters.
\n" ); document.write( "Hope this helps.
\n" ); document.write( ":-) \n" ); document.write( "

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