#3/8#ths of a number is 27. What's the number?

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Answer 1 · 2018-02-06T12:43:33

The number is #72#

If #3/8# of the number is #27#, it means that #27# represents #3# parts.

Divide #27# by #3# to find #1# part.

#1# part = #27 div 3=9#

If #1/8# of a number is #9#, then #8/8# is the whole number which is #9xx8 =72#.

Using direct proportion.

#3/8 = 27/x" "(larr3 " parts")/(larr"full number"#

#x =(27xx8)/3#

#x=72#

Answer 2 · 2018-02-07T17:07:08

#72#

Let the number be #x#

#3/8xxx=27#

#:.3/8x=27#

#:.x=27/(3/8)#

#:.x=cancel27^9/1xx8/cancel3^1#

#:.x=9xx8=72#