Tuesday, January 5, 2010

Nation of Zox

The nation of Zox consists of five islands: Zog, Zod, Zob, Zop, and Zoz. The total population of all five islands is 750 Zoxians.

Using the clues below, determine how many Zoxians live on each island:

1. The smallest island has 1/10 as many Zoxians as all of Zox.

2. The largest island is Zod. The smallest island is not Zoz.

3. One island has 1/5 of the total population of Zox. Another island has 1/3.

4. Zob is one and a half times larger than one of the other islands.

5. Zop has 100 more people than the smallest island.

3 Comments:

Anonymous Anonymous said...

Zod=250
Zop=175
Zob=150
Zoz=100
Zog=75

Cam

January 5, 2010 10:03 PM  
Anonymous Anonymous said...

Nation of Zox

Abbievate islands to last letter i.e. Zod=D

Populations given:
75,150,250,175,

Last island must be
750-650=100

Place D at largest,
P at 175 since it's 100+smallest,
B at 150 since it's 1.5x 100

?=75,?=100,B=150,P=175,D=250
Leaving G and Z, but Z can't be smallest so,
G=75,Z=100,B=150,P=175,D=250

Answer:

Zod=250
Zop=175
Zob=150
Zoz=100
Zog=75

Cam

January 5, 2010 10:11 PM  
Anonymous Zaux said...

The Zoxians have been correctly populated ...

January 6, 2010 12:01 PM  

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