Q - D - N --- cents
1 1 1 -- 40
1 1 2 -- 45
1 2 1 -- 50
1 2 2 -- 55
2 1 1 -- 65
2 1 2 -- 70
2 2 1 -- 75
2 2 2 -- 80
looks like 8 different sums
(I listed them all, just in case a different combination would yield the same sum)
George has 2 quarters, 2 dimes and 2 nickels. Using at least one of the 6 coins, how many different amounts of money can he make?
2 answers
misread the question, there are more
Q D N
0 0 1 -- 5
0 0 2 -- 10
0 1 0 -- 10 ***
0 1 1 -- 15
0 1 2 -- 20
0 2 0 -- 20 ***
0 2 1 -- 25
0 2 2 -- 30
1 0 0 -- 25 ***
1 0 1 -- 30
1 0 2 -- 35
1 1 0 -- 35 ***
1 1 1 -- ***
1 1 2 -- ***
1 2 1 -- ***
1 2 2 -- ***
2 0 0 -- ***
realize that we have the rest already
I suddenly realized that the smallest coinage we can have is
001 or 5 cents, and the largest
222 or 80 cents, and we can obtain every multiple of 5 in between
for a total of 16 different sums
Q D N
0 0 1 -- 5
0 0 2 -- 10
0 1 0 -- 10 ***
0 1 1 -- 15
0 1 2 -- 20
0 2 0 -- 20 ***
0 2 1 -- 25
0 2 2 -- 30
1 0 0 -- 25 ***
1 0 1 -- 30
1 0 2 -- 35
1 1 0 -- 35 ***
1 1 1 -- ***
1 1 2 -- ***
1 2 1 -- ***
1 2 2 -- ***
2 0 0 -- ***
realize that we have the rest already
I suddenly realized that the smallest coinage we can have is
001 or 5 cents, and the largest
222 or 80 cents, and we can obtain every multiple of 5 in between
for a total of 16 different sums