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23 April, 17:35

If 30% of a number is 18, what is the number?

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  1. 23 April, 19:30
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    30/100=18/x.

    3/10=18/x.

    180=3x.

    x=60
  2. 23 April, 20:04
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    Let's rewrite this problem to say 30% of what number is 18.

    Well percent means over 100 so we know that 30% means 30/100.

    Of means times, what number means x, is means equals,

    and 12 means 12.

    So we can translate this problem into the following equation below.

    30/100 · x = 18

    Notice that 30/100 can be reduced to 3/10.

    So rewriting our problem we have 3x/10 = 18.

    To get rid of the fraction we multiply both sides of the equation by 10 and we have 3x = 180. Dividing both sides by 3 and we find that x = 60.

    Now let's check our answer back in the original problem to see if it makes sense. We have 30% of 60 is 18.

    Well we know that 100% of 60 would be 60 so 30% of 60 should be a lot less than 60 so 18 seems to make sense.
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