Divide Sum of Funds into three equal groups of people with three different amounts

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cdnpatriot

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Problem: Divide $1,500,000 into three parts one group: $25 second group $50 third group $100
Each group must contain the same number of individuals
 
cdnpatriot said:
Problem: Divide $1,500,000 into three parts one group: $25 second group $50 third group $100
Each group must contain the same number of individuals
Click to expand...
As posted, the problem has no feasible answer.
 
[FONT=&quot] [/FONT]
[FONT=&quot]If we were to test for $50, $75, $100 it works out to:[/FONT]

[FONT=&quot] [/FONT]
[FONT=&quot]$50 group: 6666 families $333,333.00[/FONT]
[FONT=&quot]$75 group: 6666 families $666,667.00[/FONT]
[FONT=&quot]$100 group: 6666 families $500,000.00[/FONT]
[FONT=&quot]$125 group: [/FONT]
[FONT=&quot] 20000 families $1,500,000.00[/FONT]
[FONT=&quot] [/FONT]
 
cdnpatriot said:
Problem: Divide $1,500,000 into three parts one group: $25 second group $50 third group $100
Each group must contain the same number of individuals
Click to expand...
suppose there are N individual in each group. Then:

N * (25 + 50 + 100) = 1. 5 * 10^6

N = 1.5/1.75 * 10^4 = 6/7 * 10^4 → fraction

Not feasible....
 
cdnpatriot said:
If we were to test for $50, $75, $100 it works out to:


$50 group: 6666 families $333,333.00
$75 group: 6666 families $666,667.00 I THINK YOU MEANT 500,000.00
$100 group: 6666 families $500,000.00 I THINK YOU MEANT 666,667.00
$125 group:
20000 families $1,500,000.00
Click to expand...
Perfect answer except that

\(\displaystyle 6666 \times 50 = 333,300.00 \ne 333,333.00,\)

\(\displaystyle 6666 \times 75 = 499,950.00 \ne 500,000.00,\)

\(\displaystyle 6666 \times 100 = 666,600.00 \ne 666,667.00,\)

\(\displaystyle 6666 + 6666 + 6666 = 19998 \ne 20000, \text { and }\)

\(\displaystyle 333,300.00 + 499,950.00 + 666,600.00 = 1,499,850.00 \ne 1,500,00.00.\)

I suspect that what you meant in your original question was "as close to the same number of people as possible." It is feasible to answer THAT question. Is that what you meant?
 
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