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Please help me solve this riddle, i'm losing my mind

 
 
Reply Fri 6 Jul, 2007 10:01 am
Please help me solve this riddle before i simply lose my mind!

"A farm owner needs 100 people consisting of men, women and children to work in his field. He has 100 dollars. Men are worth $5.00, Women are worth $1.00 and Children are worth $.05. How many men, women and children can he get to work in his field with his $100.00?"

seriously, i am losing sleep over this so plese help me!
you HAVE TO use men, women and children....

arggghhh!
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Type: Discussion • Score: 1 • Views: 834 • Replies: 11
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DrewDad
 
  1  
Reply Fri 6 Jul, 2007 10:10 am
1 man, 94 women, 20 children

1 man, 93 women, 40 children

...

2 men, 89 women, 20 children

2 men, 88 women, 40 children

...


You have to have at least 20 children, cost of women and children must add up to a multiple of five.
0 Replies
 
Francis
 
  1  
Reply Fri 6 Jul, 2007 10:11 am
This is not a riddle but a math problem:

M+W+C=100

5xM+1xW+0.05xC=100

Then, solve!
0 Replies
 
DrewDad
 
  1  
Reply Fri 6 Jul, 2007 10:15 am
Francis wrote:
This is not a riddle but a math problem:

M+W+C=100

5xM+1xW+0.05xC=100

Then, solve!

Three variables, two equations...
0 Replies
 
alexiajullianna
 
  1  
Reply Fri 6 Jul, 2007 10:19 am
Please help me solve this riddle before i simply lose...
drewdad, those all work except it doesn't total 100 people...that's where i'm getting stuck....i had it they way you did by doing 18 men, 9 women and 20 kids and i got it WRONG...so frustrating! thanks though!
0 Replies
 
DrewDad
 
  1  
Reply Fri 6 Jul, 2007 10:21 am
Oops.

Missed on of the criteria.


Back in a sec....
0 Replies
 
DrewDad
 
  1  
Reply Fri 6 Jul, 2007 10:27 am
19 men, one woman, 80 children.
0 Replies
 
alexiajullianna
 
  1  
Reply Fri 6 Jul, 2007 10:29 am
drewdad you da man!
thanks so much...i can go on living a normal life now
0 Replies
 
DrewDad
 
  1  
Reply Fri 6 Jul, 2007 10:31 am
Using Francis' equations:

5m + w + .05c=100

m+w+c=100

w=100-m-w


5m + (100-m-w) +.05c =100

4m -.95c = 0

4m = .95c

400m = 95c

80m = 19c

m/c = 19/80

The ratio of men to children has to be 19:80. The only possible solution under the conditions is 80 children, 19 men, one woman.

Adding up the costs: 80 children = 4, 19 men = 95, one woman = 1

95+1+4 = 100
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Francis
 
  1  
Reply Fri 6 Jul, 2007 10:34 am
Good, Drew! I had that too.
0 Replies
 
alexiajullianna
 
  1  
Reply Fri 6 Jul, 2007 10:36 am
thanks again!
Thanks again!
0 Replies
 
Topdn
 
  1  
Reply Thu 16 Aug, 2007 01:10 pm
190 1 MAN 1 WOMAN AND 187 KIDS
0 Replies
 
 

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