Question

Davis has exactly 20 dimes, 20 nickels, and 20 pennies. Find all the ways Davis can choose 22 coins whose total value is 1 dollar and must use one coin of each type?

Answer 1

he can;t, davis is 2

Answer 2

Shall we just sit down to count or shall we pull out the big guns?

Start with 1 dime, 1 nickle, and 1 penny. That's 16¢. Now, we can rephrase the question.

Davis has exactly 19 dimes, 19 nickels, and 19 pennies. Find all the ways Davis can choose 19 coins whose total value is 84¢?

Notice that the ONLY way to get 4¢ is to use 4 more pennies. Nickles and dimes just won't do that.

Now, we have 1 dime, 1 nickle, and 5 pennies. That's 20¢. Now, we can rephrase the question.

Davis has exactly 19 dimes, 19 nickels, and 15 pennies. Find all the ways Davis can choose 15 coins whose total value is 80¢?

It's getting easier, isn't it?

Answer 3

yes thank u