Percent of a Quantity 1

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.

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

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Greatest Common Factor

Directions: Using the digits 0 to 9 at most one time each, place a digit …

4 comments

  1. 16 is 50% of 32

  2. Rudolf Österreicher

    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

  3. 50 percent of 5 is 2.5

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