<PRE><B>Question 134957</B>
Since you are given that she has 17 quarters, you know that she has {{{17*.25=4.25}}} in quarters.  Since she has a total of $6, you know that she has {{{6-4.25=1.75}}} in dimes and nickels.


Let the number of dimes be d and the number of nickels be n.


Then you are given that {{{d=3n}}}.


We also know that the value of d dimes is .10d, and the value of n nickels is .05n -- 10 cents per dime, and 5 cents per nickel.


The total value of her dimes and nickels is therefore .10d + .05n and we know this to be equal to $1.75.


{{{.10d+.05n=1.75}}}


But remember, {{{d=3n}}}, so:


{{{.10(3n)+.05n=1.75}}}


{{{.3n+0.5n=1.75}}}


{{{.35n=1.75}}}


{{{n=5}}}


So she has 5 nickels and 3 * 5 = 15 dimes.


Check:

5 nickels = .25
15 dimes = 1.50
17 quarters = 4.25

4.25 + 1.50 + .25 = 6.00</PRE>