How do you solve for r when G equals A divided by 1 minus r?

Answer 1

You would take the following steps for G = A / (1-R):

G = A / (1-R)

Multiply by (1-R):

G * (1-R) = A

Divide by G:

(1-R) = A/G

1-R = A/G

Subtract 1:

-R = (A/G) - 1

Divide By -1:

R = -((A/G) - 1)

Check Work:

Original Problem:

A = 12; R = 5

G = 12 / (1-5)

G = -3

Solving For R:

R = -((12/-3)-1)

R = 5

Therefore, R= -((A/G)-1)