How to rearrange: 16 = 1 n </mfrac> 25 + n &#x

varitero5w

varitero5w

Answered question

2022-06-20

How to rearrange: 16 = 1 n 25 + n 1 n 218.75
Can anyone here help me out to rearrange the following formula and solve for n?

Answer & Explanation

Ethen Valentine

Ethen Valentine

Beginner2022-06-21Added 15 answers

multiply by n
16 n = 25 + 218.75 ( n 1 )
16 n = 25 + 218.75 n 218.75
move n to the right and the constants to the left hand side of the equation
218.75 25 = 218.75 n 16 n
solve for n
193.75 = 202.75 n
193.75 / 202.75 = n
simplify by making the top and bottom integers
775 / 811 = n
Done as 811 is a prime
gvaldytist

gvaldytist

Beginner2022-06-22Added 12 answers

take 1 n as a common factor and so
16 = 1 n ( 25 + ( n 1 ) 218.75 )
now multiply by n each side to get
16 n = 25 + ( n 1 ) 218.75
now expand
( n 1 ) 218.75 = n 218.75 218.75
So now you have
16 n = 25 + n 218.75 218.75
and subtract n 218.75 each side to get
16 n n 218.75 = 25 218.75
Now take n as common factor again to get
n ( 16 218.75 ) = 25 218.75
Finally divide by ( 16 218.75 ) on each side to get
n = 25 218.75 16 218.75 = 775 811
and you are done !

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