SOLUTION: The number of greens varied directly as the square root of the number of reds and inversely as the number of whites squared. What happens to the numbers of greens if the number of

Algebra ->  Proportions  -> Lessons -> SOLUTION: The number of greens varied directly as the square root of the number of reds and inversely as the number of whites squared. What happens to the numbers of greens if the number of       Log On


   

Question 1154237: The number of greens varied directly as the square root of the number of reds and inversely as the number of whites squared. What happens to the numbers of greens if the number of reds is multiplied by 16 and the number of whites is doubled?
Found 2 solutions by Edwin McCravy, greenestamps:
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
G%5B1%5D=k%2A%28sqrt%28R%5B1%5D%29%2FW%5B1%5D%5E2%29

Let's see! 

G%5B1%5D=k%2A%28sqrt%2816R%5B1%5D%29%2F%282W%5B1%5D%29%5E2%29
G%5B2%5D=k%2A%284sqrt%28R%5B1%5D%29%2F4W%5B1%5D%5E2%29
G%5B2%5D=k%2A%28cross%284%29sqrt%28R%5B1%5D%29%2Fcross%284%29W%5B1%5D%5E2%29
G%5B2%5D=k%2A%28sqrt%28R%5B1%5D%29%2FW%5B1%5D%5E2%29%29
G%5B2%5D=G%5B1%5D

Nothing at all!

Edwin

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The number of greens varies DIRECTLY as the square root of the number of reds. If the number of reds is MULTIPLIED by 16, that means the number of greens is MULTIPLIED by the square root of 16, or 4.

The number of greens varies INVERSELY as the square of the number of whites. If the number of whites is MULTIPLIED by 2, the number of greens is DIVIDED by 2 squared, or 4.

So one change multiplies the number of greens by 4 and the other divides that number by 4. So together the two changes produce no change in the number of greens.