SOLUTION: the number of Reds varies directly as the number of Greens squared and inversely as the number of Blues. When there were 100 Reds and 1 Green, there were 5 Blues. How many Blues ar

Algebra ->  Test -> SOLUTION: the number of Reds varies directly as the number of Greens squared and inversely as the number of Blues. When there were 100 Reds and 1 Green, there were 5 Blues. How many Blues ar      Log On


   

Question 1044092: the number of Reds varies directly as the number of Greens squared and inversely as the number of Blues. When there were 100 Reds and 1 Green, there were 5 Blues. How many Blues are there when there are 10 Red and 10 Greens?
Answer by advanced_Learner(501) About Me  (Show Source):
You can put this solution on YOUR website!
constant of proportionality
R=K%2Ag%5E2%2F%28b%29
R=K%2Ag%5E2%2F%28b%29 when r=100,g=1,b=5,then
100=K%2A%281%29%5E2%2F%285%29
K=500,
10=%28%28500%29%2A%2810%5E2%29%2F%28b%29%29
blue b=5000