SOLUTION: if 4/5 of a number is 16, what is 1/5 of the number? what is the number?

Question 137917: if 4/5 of a number is 16, what is 1/5 of the number? what is the number?
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Let x=the number
Then (4/5)x=16 divide each side by 4/5
x=16(5/4)=20
(Note: 16/(4/5): multiply numerator and denominator by 5/4. Since (5/4)/(5/4)=1, we haven't changed anything. This will get rid of the fraction in the denominator. So we have: (16(5/4))/((4/5)(5/4))=16(5/4)/1 or 16(5/4))

1/5 of the number is (1/5)20=4
CK
4/5 of the number + 1/5 of the number = the number
16+4=20
20=20
Hope this helps---ptaylor

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