i think the answer is
3 nickels .15
9 dimes .90
18 quarters 4.50
It's easy enough to check.
The numbers add up, and the values add up.
You added wrong at the very end. 4.50 + .90 + .15 does indeed make 5.55
However, your equations do not represent the facts:
x = nickels
3x = dimes
2(3x) = 6x = quarters
5x + 10(3x) + 25(6x) = 555
185x = 555
Megan has three times as many quarters than nickels. She has one less dime than the number of quarters. If she has a total of $4.30, how many of each coin does she have ?
Nickels = x
Quarters = 3x
Dimes = 3x-1
Plug in equation with coin values in ()...
(5)x + (25)3x + (10)3x-1 = 430
5x + 75x + 30x - 10 = 430
80x + 30x - 10 = 430
110x -10 = 430
110x -10 +10 = 430 + 10
110x = 440
x = 4
Nickels = 4 (x)
Quarters = 12 (3x)
Dimes = 11 (3x-1)
11x10=110 D /
20+300+110= 430 cents \/
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