Question 104577
Jo has 37 coins(all nickles, dimes and quarters) worth $5.50.  She has 4 more quarters  than nickles.  How many dimes does Jo have?  I can't figure out what the variable for dimes is.
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Let number of nickels be "x" ; value of these is 5x cents
# of quarters is "x+4" ; value of these is 25(x+4) = 25x+100 cents
# of dimes = 37-(x+x+4)="33-2x"; value is 10(33-2x)=330-20x cents
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EQUATION:
value + value + value = 550 cents
5x + 25x+100 + 330-20x = 550
10x = 120
x = 12 (# of nickels)
x+4 = 16 (# of quarters)
33-2x= 9 (# of dimes)
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Cheers,
Stan H.