SOLUTION: sarah has a collection of nickles, dimes, and quarters worth $15.75. she has 10 more dimes than nickles and twice as many quarters as dimes. How many coins of each does she have?

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Question 135378: sarah has a collection of nickles, dimes, and quarters worth $15.75. she has 10 more dimes than nickles and twice as many quarters as dimes. How many coins of each does she have?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
sarah has a collection of nickles, dimes, and quarters worth $15.75. she has 10 more dimes than nickels and twice as many quarters as dimes. How many coins of each does she have?
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Let # of nickels be "x" ; Value is 5x cents
# of dimes is "x+10" ;value is 10(x+10) = 10x+100 cents
# of quarters is 2(x+10)=2x+20; value is 25(2x+20) = 50x+500 cents
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EQUATION:
value + value + value = 1575 cents
5x + 10x+100+50x+500 = 1575
65x +600 = 1575
65x = 975
x = 15 (number of nickels)
x+10 = 25 (number of dimes)
2x+20 = 50 (number of quarters)
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Cheers,
Stan H.