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
