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

#### cdnpatriot

##### New member
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

##### Super Moderator
Staff member
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

##### New member
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[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 ##### Super Moderator Staff member 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 ##### Super Moderator Staff member **** Have you been drinking Patriot? 'Tis the season to be jolly .... be nice Denis (remember the corner!!!) #### JeffM ##### Elite Member 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
$$\displaystyle 6666 \times 50 = 333,300.00 \ne 333,333.00,$$
$$\displaystyle 6666 \times 75 = 499,950.00 \ne 500,000.00,$$
$$\displaystyle 6666 \times 100 = 666,600.00 \ne 666,667.00,$$
$$\displaystyle 6666 + 6666 + 6666 = 19998 \ne 20000, \text { and }$$
$$\displaystyle 333,300.00 + 499,950.00 + 666,600.00 = 1,499,850.00 \ne 1,500,00.00.$$