SOLUTION: if y varies directly as x and inversely as z, and y=40 when x=20 and z=2, find y when x=60 and z=4 (two parts to this problem) please solve step by step so I understand it. than

Question 40717: if y varies directly as x and inversely as z, and y=40 when x=20 and z=2, find y when x=60 and z=4 (two parts to this problem)
please solve step by step so I understand it. thank you
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
First write the equation:
k is the constant of variation. To find the value of k, substitute the given values of y = 40, x = 20, and z = 2, then solve for k.

Divide both sides by 10.

The equation is:

Now the second step to find y when x = 60 and z = 4:
Substitute: x = 60 and z = 4.

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