Question 1162245
Kelly has a collection of nickels, dimes, and quarters with a total value of $6.10. There are four more nickels than dimes and twice as many quarters as nickels. How many of each coin is in her collection?
<pre>Let the number of nickels be N
Then number of dimes = N - 4, and number of quarters: 2N
We then get: .05N + .1(N - 4) + .25(2N) = 6.1
.05N + .1N - .4 + .5N = 6.1
.65N = 6.1 + .4
.65N = 6.5
Number of nickels, or {{{highlight_green(matrix(1,5, N, "=", 6.5/.65, "=", 10))}}}
You should now be able to find the number of dimes, and quarters.