Two-thirds of a number is decreased by 1. The result is the quotient of the original number and 4. Find the number

Answer 1

(2/3)N - 1 = N/4

Multiplies by 12:

8N - 12 = 3N

5N - 12 = 0

5N = 12

N = 12/5

check

(2/3)(12/5) - 1 = 24/15 - 1 = 24/15 - 15/15 = 9/15 = 3/5

12/5 * 1/4 = 3/5

N=12/5