Final answer:
To get a total of 55 cents with two coins, one of which cannot be a nickel, possible combinations are a quarter and a dime or two dimes and one nickel.
Step-by-step explanation:
To find the two coins that add up to 55 cents, we can start by noting that one coin is not a nickel. Since nickels are 5 cents, we need two other coins that add up to 55 - 5 = 50 cents. One possible combination is a quarter and a dime. A quarter is worth 25 cents and a dime is worth 10 cents, so 25 + 10 = 35 cents. Another possible combination is two dimes and one nickel. Two dimes are worth 20 cents and a nickel is worth 5 cents, so 20 + 5 = 25 cents. Adding these two combinations together, we have 35 + 25 = 60 cents. Therefore, the two coins that add up to 55 cents, with one not being a nickel, can be a quarter and a dime or two dimes and one nickel.