Meghan has two less dimes as she does nickels and one more than double the amount of quarters as she does nickels for a total of $2.00 How many nickels, dimes, and quarters does Meghan have?

The number of nickel = 3

Number of dime = 1

Number of quarter = 7

Step-by-step explanation:

Let us assume the number of nickels Meghan has = m

So, the number of dimes she has = m - 2

And the number of quarters she has = 1 + 2 m

Now, the total amount she has = $2.00

1 nickel = $0.05 ⇒ m nickel = m ($0.05) = 0.05 m

1 dime = $0.10 ⇒ (m - 2) dime = m-2 ($0.10) = 0.10 (m-2)

1 quarter = $0.25 ⇒ (1 + 2m) quarter = (1 + 2m) ($0.25) = 0.25 (1+2m)

So, according to the question:

Amount of (nickel + dime + quarter) = $2.00

⇒ 0.05 m + 0.10 (m-2) + 0.25 (1+2m) = 2

or, 0.05 m + 0.10 m - 0.20 + 0.25 + 0.5 m = 2

or, 0.65 m = 2 - 0.05

or, m = 1.95/0.65 = 3

or, m = 3

Hence, the number of nickel = 3

Number of dime = m - 2 = 3-2 = 1

and Number of quarter = 2m + 1 = 7