2004=175n

Rewrite the equation as 175n=2004.

175n=2004

Divide 200 by 4.

175n=50

Multiply each term by n and simplify.

Multiply each term in 175n=50 by n.

175n⋅n=50⋅n

Cancel the common factor of n.

Cancel the common factor.

175n⋅n=50⋅n

Rewrite the expression.

175=50⋅n

175=50n

175=50n

Rewrite the equation as 50n=175.

50n=175

Divide each term by 50 and simplify.

Divide each term in 50n=175 by 50.

50n50=17550

Cancel the common factor of 50.

Cancel the common factor.

50n50=17550

Divide n by 1.

n=17550

n=17550

Cancel the common factor of 175 and 50.

Factor 25 out of 175.

n=25(7)50

Cancel the common factors.

Factor 25 out of 50.

n=25⋅725⋅2

Cancel the common factor.

n=25⋅725⋅2

Rewrite the expression.

n=72

n=72

n=72

n=72

n=72

The result can be shown in multiple forms.

Exact Form:

n=72

Decimal Form:

n=3.5

Mixed Number Form:

n=312

Solve for n 200/4=175/n