Answer: I will give her $6.05 and collect the $0.5 in her possession
Step-by-step explanation:
Before proceeding, we need to know the quantity or equivalent of some of the things mentioned.
a.Nickel:- a nickel is 5¢, this means that the 20¢ in nickels that you had in your possession while in the restaurant is equal to (20/5) 4 nickel coins.
b. Two quarters :- Just as the name implies; 2 quarters of a dollar is [(1/4) + (1/4)] of 1 dollar = 50 cent.
We need to calculate the entire amount that needs to be given to the waitress. Since your bill after eating at the restaurant is $4.65 and the intended tip is 90¢, the sum that should be offered to her =
$4.65 + $0.90
= $5.55 (five dollars : fifty five cent).
According to the question, you have only 20 cents in nickels, so although you have five dollar bills to give the waitress, 55¢ is not available. Again, if you offer her six dollar bills, she wouldn't be able to give you a change of 45¢ ($6.00 - $5.55) because she only has 2 quarters of a dollar (50¢).
Now, since you are in possession of 20¢ in nickels, the best way to tackle the situation is to demand the two quarters that she has while handing out the 6 dollar bills and 1 nickel (5¢) to her. So, you should simply offer her $6.05 while you collect $0.50 from her in return)
Recall that the total amount that must be given to her (bill + tip) = $5.55
Then subtracting 50¢ from $6.50¢ will give:
$6.05 - $0.50
= $5.55
Therefore you have given her exactly $5.55¢ if you offer her six dollars five cent and collect fifty cents in return.