SOLUTION: Solve the problem as directed. If x varies inversely as y and directly as t, and x = 12 when t = 10 and y = 25, find y when x is 6 and t = 3. y=

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Solve the problem as directed. If x varies inversely as y and directly as t, and x = 12 when t = 10 and y = 25, find y when x is 6 and t = 3. y=      Log On


   

Question 627999: Solve the problem as directed.
If x varies inversely as y and directly as t, and x = 12 when t = 10 and y = 25, find y when x is 6 and t = 3.
y=
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x%28alpha%29+%28t%2Fy%29
x=+k%2A%28t%2Fy%29
x=12,t=10, y=25
substitute the values
12=k%2A%2810%2F25%29

12=+k%2A%282%2F5%29
multiply by 5
60 = 2k
k= 30
x=6, t=3 and we have found k =30
x= k * (t/y)
6=30*(3/y)
multiply equation by y
6y=90
y= 15