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At Lincoln High School, the number of students taking a sewing course is decreasing by $15$ students per year and the number students taking a business course is increasing by $20$ per year. This year there are $175$ students taking sewing and $35$ taking a business course.

Which one of the following equations could be used to determine the number of years $(n)$ until the number of students is the same for both courses?​

A

$175+15n=35+20n$

B

$175-20n=35+15n$

C

$175-15n=35+20n$

D

$15n-175=20n-35$

E

$190n=55n$

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