Verified answer

10 Dimes= 1.00

5 Nickels= .25

3 Quarters=.75

All together= 2.00

Let's say that N is the number of nickels,

D is the number of dimes and

Q is the number of quarters

Then,

N+D+Q=18 (18 coins altogether)

and each nickel is worth 5 cents, so the value of the nickels is 5 x N cents; each dime is worth 10 cents, so the value of the dimes is 10 X D cents and the value of the quarters is 25 X Q cents.

We then can make 3 different equations:

1. N+D+Q=18

2. 5N+10D+25Q=200(that's $2 in cents)

3. D=2N since there are twice as many dimes as nickels

You can solve them simultaneously by substituting 2N for D in equation #1 and making Q the subject (on the left hand side by itself) Q=18-3N

You then substitute 18-3N into equation #2 for the Q and also substitute 2N for D in equation #2:

5N + 20N + 25(18-3N) = 200

If you persist with solving this equation it will tell you how many nickels, then you can work out the rest. Good Luck.