The largest amount of money you can have without making change for $1 is $1.19!
Say your friend really wants a quarter to go play in the arcade (because that's still a thing), but he only has $1. He sees you have a bunch of coins in hand, so he asks you to make change for his $1 bill. You know your coins were worth more than $1, yet you have to say no because no matter how hard you tried, you couldn't get to exactly $1.
If this were the case, you would have 3 quarter coins, 4 dimes and 4 pennies. The sum is $1.19, but no combination of these coins will ever come up to exactly $1. Let's see some ways that you can get close:
- Give your friend 2 quarters, the 4 dimes and the 4 pennies: You give him $0.94 not close
- Give him the 3 quarters and 3 dimes. It's $1.05
- Give your friend 3 quarters, 2 dimes and the 4 pennies: You give him $0.99. That's as close as you can get!
