Posted by **Anna** on Tuesday, September 16, 2008 at 6:02pm.

On the plant ZOG,colored coins are used formoney. Suppose 12 white, 9 red, 8 yellow, 4 blue, and 0 green can be exchanged for 2 white, 1 red, 0 yellow, 1 blue ,and 1 green. Also, suppose 1 green = N blue, 1 blue = N yellow, 1 yellow = N red, and 1 red = N white coins. What is the rate of exchange for these coins?

- math -
**Reiny**, Tuesday, September 16, 2008 at 6:29pm
From your first condition

12w+9r+8y+4b = 2w+1r+1b+1g

so 10w+8r+8y+3b-g = 0

from your last conditions, w is the smallest denomination and g is the largest, so that

r=Nw

y=N^2w

b=N^3w and

g = N^4w

putting those back in

10w + 8Nw + 8n^2w + 3N^3w - N^4w = 0

divide by w

10 + 8N + 8N^2 + 3N^3 - N^4 = 0

Hoping that N is a whole number, I only had to try N = 1,2, or 5 (factors of 10)

sure enough N=5 worked, so

smallest coin W

1 R = 5 W

1 Y = 25 W

1 B = 125 W and

1 G = 625 W

## Answer This Question

## Related Questions

- math - A spiiner was spun 16 times. The results are shown in the table below. ...
- 7th grade math (probability) - I'm posting corrections from yesterday in ...
- 7th grade math (probability) - I'm re-posting corrections originally from ...
- math - A bag contains 4 red, 4 blue, 4 green, and 4 yellow marbles. A marble is ...
- math - A bag contains the following marbles:6 red,4 orange,3 yellow,2 blue and 5...
- math - 4 red,4 white,4 blue at random take out 2 , say 1 red 1 white do not ...
- chemistry - which is the most reactive form of phosphorus? blue, red, white or ...
- Physics - Which combination of primary additive colors will produce yellow-...
- Physics - Which combination of primary additive colors will produce yellow-...
- Physics - Which combination of primary additive colors will produce yellow-...

More Related Questions