SOLUTION: Four fifths of a number is 24, what is five sixths of the number

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Question 1006149: Four fifths of a number is 24, what is five sixths of the number

Found 2 solutions by Theo, MathTherapy:
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
4/5 * x = 24
multiply both sides of this equation by 5/4 to get:
x = 24 * 5/4
simplify to get:
x = 30
5/6 * x = 5/6 * 30 = 25
the number is 30
5/6 * the number is 25.





Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Four fifths of a number is 24, what is five sixths of the number
With N being 5%2F6 of the number, you can set this up as a proportion, as follows: %284%2F5%29%2F%285%2F6%29+=+24%2FN
%284%2F5%29+%2A+N+=+%285%2F6%29+%2A+24 ------- Cross-multiplying
4N%2F5+=+5+%2A+24%2F6
4N%2F5+=+20
4N = 100 ------- Cross-multiplying
N, or 5%2F6 of the number = 100%2F4, or highlight_green%2825%29