perfectionist 3 years ago calling all word problem lovers! Sam has \$0.93 in a total of nine coins. She does not have a half dollar. How many of each coin does she have? Pennies, nickels, dimes, quarters

1. perfectionist

keep in mind that we can use two quarters or five dimes because Sam does NOT have \$0.50

2. echec

She must have 3 pennies since there is no other way to represent \$.01. This leaves 6 coins to make \$.90. If we use two quarters as well, we have accounted for \$.53, which leaves us with \$.40 to account for. For this we can use four times. Her coins are 3 pennies, 4 dimes, and 2 quarters. 3 + 4 + 2 = 9 coins .03 + .40 + .50 = .93

3. perfectionist

Sam does NOT have \$0.50

4. echec

A half dollar is another kind of coin. Are you sure the problem is just not ruling out that sort of coin as an option?

5. perfectionist

it is? really?

6. echec

Mmhm. Don't see them a lot these days, though. I'm not sure of any other way to come up with her coinage.

7. perfectionist

okay. thank you!!!!!

8. perfectionist

wait, how many nickel would be used though?

9. LagrangeSon678

lol, 50 cent coin, can we also use sacajawea dollars

10. echec

We don't need to use any nickels. We would have to use at least ten coins for that (3 pennies, 2 nickels, 3 dimes, 2 quarters, because 2 nickels replaces one dime).

11. perfectionist

okay thanks again