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

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
 

Subhotosh Khan

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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
As posted, the problem has no feasible answer.
 

cdnpatriot

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[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]
 

Subhotosh Khan

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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
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....
 

Subhotosh Khan

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JeffM

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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
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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