Directions: Using the digits 0 to 9 at most one time each, fill in the boxes to make two true statements without rounding. You may reuse all the digits for your second statement.
![](https://www.openmiddle.com/wp-content/uploads/2021/05/percentofaquantity.png)
Hint
What percentages would be more likely to give you whole number results?
Answer
There are multiple correct answers including 17 is 25% of 68 and 14 is 50% of 28.
Source: Robert Kaplinsky
16 is 50% of 32
Not allowing leading zeros, there are 58 solutions (10 of which don’t contain the digit 0):
13 is 65 % of 20
17 is 85 % of 20
18 is 75 % of 24
17 is 68 % of 25
19 is 76 % of 25
13 is 50 % of 26
14 is 50 % of 28
16 is 50 % of 32
17 is 50 % of 34
21 is 60 % of 35
18 is 50 % of 36
19 is 50 % of 38
38 is 95 % of 40
27 is 60 % of 45
36 is 80 % of 45
23 is 50 % of 46
36 is 75 % of 48
13 is 26 % of 50
14 is 28 % of 50
16 is 32 % of 50
17 is 34 % of 50
18 is 36 % of 50
19 is 38 % of 50
23 is 46 % of 50
31 is 62 % of 50
32 is 64 % of 50
34 is 68 % of 50
36 is 72 % of 50
38 is 76 % of 50
39 is 78 % of 50
41 is 82 % of 50
43 is 86 % of 50
46 is 92 % of 50
48 is 96 % of 50
21 is 35 % of 60
27 is 45 % of 60
31 is 50 % of 62
32 is 50 % of 64
13 is 20 % of 65
17 is 25 % of 68
34 is 50 % of 68
36 is 50 % of 72
18 is 24 % of 75
36 is 48 % of 75
63 is 84 % of 75
19 is 25 % of 76
38 is 50 % of 76
39 is 50 % of 78
36 is 45 % of 80
76 is 95 % of 80
41 is 50 % of 82
63 is 75 % of 84
17 is 20 % of 85
43 is 50 % of 86
46 is 50 % of 92
38 is 40 % of 95
76 is 80 % of 95
48 is 50 % of 96
If we allow leading zeros, there are another 6 solutions:
09 is 75 % of 12
04 is 25 % of 16
04 is 16 % of 25
09 is 36 % of 25
09 is 25 % of 36
09 is 12 % of 75
50 percent of 5 is 2.5
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