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?
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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.