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Directions: Using the digits 0 to 9 at most one time each, place a digit in each box to create a true statement.
Hint
Consider denominators that are factors of 100
Answer
13/50 = 26%, 13/26 = 50%, 14/50 = 28%, 14/28 = 50%, 16/50 = 32%, 16/32 = 50%, 17/50 = 34%, 17/34 = 50%, 18/50 = 36%, 18/36=50%, 19/50 = 38%, 19/38 = 50%, 23/50 = 46%, 23/46 = 50%, 31/50 = 62%, 31/62 = 50%, 32/50 = 64%, 32/64 = 50%, 34/50 = 68%, 34/68 = 50%, 36/50 = 72%, 36/72 = 50%, 38/50 = 76%, 38/76 = 50%, 39/50 = 78%, 39/78 = 50%, 41/50 = 82%, 41/82 = 50%, 43/50 = 86%, 43/86 = 50%, 46/50 = 92%, 46/92 = 50%, 48/50 = 96%, 48/96 = 50%,
There are many other combinations that work as well such as 21/35 = 60% or 12/30 = 40%, etc….
Source: Matthew Miller
58 solutions without leading zeros (10 of which don’t contain the digit 0):
13/20 = 65 %
13/26 = 50 %
13/50 = 26 %
13/65 = 20 %
14/28 = 50 %
14/50 = 28 %
16/32 = 50 %
16/50 = 32 %
17/20 = 85 %
17/25 = 68 %
17/34 = 50 %
17/50 = 34 %
17/68 = 25 %
17/85 = 20 %
18/24 = 75 %
18/36 = 50 %
18/50 = 36 %
18/75 = 24 %
19/25 = 76 %
19/38 = 50 %
19/50 = 38 %
19/76 = 25 %
21/35 = 60 %
21/60 = 35 %
23/46 = 50 %
23/50 = 46 %
27/45 = 60 %
27/60 = 45 %
31/50 = 62 %
31/62 = 50 %
32/50 = 64 %
32/64 = 50 %
34/50 = 68 %
34/68 = 50 %
36/45 = 80 %
36/48 = 75 %
36/50 = 72 %
36/72 = 50 %
36/75 = 48 %
36/80 = 45 %
38/40 = 95 %
38/50 = 76 %
38/76 = 50 %
38/95 = 40 %
39/50 = 78 %
39/78 = 50 %
41/50 = 82 %
41/82 = 50 %
43/50 = 86 %
43/86 = 50 %
46/50 = 92 %
46/92 = 50 %
48/50 = 96 %
48/96 = 50 %
63/75 = 84 %
63/84 = 75 %
76/80 = 95 %
76/95 = 80 %
Plus 6 solutions with leading zeros:
04/16 = 25 %
04/25 = 16 %
09/12 = 75 %
09/25 = 36 %
09/36 = 25 %
09/75 = 12 %
It’s identical to the exercise called “Percent of a quantity 1”, just written in a different form.