SOLUTION: Susan's change purse contains quarters, dimes, and nickels. She has twice as many nickels as quarters and four more nickels than dimes. She has a total of $5.10. How many coins of

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Question 118486: Susan's change purse contains quarters, dimes, and nickels. She has twice as many nickels as quarters and four more nickels than dimes. She has a total of $5.10. How many coins of each kind does Susan have in her purse?
Found 2 solutions by stanbon, killahzsmilez:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Susan's change purse contains quarters, dimes, and nickels. She has twice as many nickels as quarters and four more nickels than dimes. She has a total of $5.10. How many coins of each kind does Susan have in her purse?
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Let number of quarters be "x" ; value is 25x cents
Then number of nickels is "2x": value is 5*2x = 10x cents
And number of dimes = "2x-4" ; value is 10(2x-4) = 20x-40 cents
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EQUATION:
value + value + value 510 cents
25x + 10x + 20x-40 = 510
55x = 550
x = 10 (# of quarters)
2x = 20 (# of nickels)
2x-4 = 16 (# of dimes)
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Cheers,
stan H.

Answer by killahzsmilez(5) About Me  (Show Source):
You can put this solution on YOUR website!
25x + 10(2x-4) + 5(2x) = 510
25x + 20x - 40 + 10x = 510
45x - 40 + 10x = 510
55x - 40 = 510
55x = 550
x = 10
Check
25(10)+10(2(10)-4)=510
250+10(20-4)+5(20)=510
250+10(16)+100=510
250+160+100=510
510=510
There are 10 quarters, 16 dimes, and 20 nickels.