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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?

Respuesta :

Answer:

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

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