Michelle has 5coins worth 75 cents what coins did she have?

We need to divide the total cents by the amount of coins so that we know how much each coin is worth:

75/5 = 15

but there aren't coins worth 15 cents.

So lets accomodate the total in known coins:

1 cent, 5 cents, 10 cents, 25 cents, 50 cents.

take this combination:

2 (25) + 2 (10) + 1 (5) = 50 + 20 + 5 = 75

so she could have 2 coins of 25 cents, and 2 coins of 10 cents, and 1 coin of 5 cents

One possibilities there is that there is:

2 quarters

2 dimes

1 nickel

25 + 25 + 10 + 10 + 5 = 75