Final answer:
To find the combination of five coins that add up to $0.75, we need to consider U.S. coins and their values. The correct combination is 2 Quarters, 2 Dimes, and 1 Nickel.
Step-by-step explanation:
Mitchell has five coins worth a total of $0.75. To determine which coins she might have, we can list out the possible combinations of U.S. coins that add up to 75 cents. The common U.S. coins are pennies (1 cent), nickels (5 cents), dimes (10 cents), and quarters (25 cents).
Possible Combinations
- 3 Quarters (3 x $0.25 = $0.75)
- 1 Quarter, 2 Dimes, and 2 Nickels (1 x $0.25 + 2 x $0.10 + 2 x $0.05 = $0.75)
- 1 Quarter, 5 Dimes (1 x $0.25 + 5 x $0.10 = $0.75)
- 7 Nickels and 2 Dimes (7 x $0.05 + 2 x $0.10 = $0.75)
However, none of these combinations have exactly five coins. So let's find a combination that has exactly five coins:
2 Quarters, 2 Dimes, 1 Nickel (2 x $0.25 + 2 x $0.10 + 1 x $0.05 = $0.75)
This combination adds up to 75 cents, and it consists of exactly five coins. Hence, this is the correct set of coins that Mitchell has.