$260 is to be divided among a certain number of people. If half of the people receive $3 each, one-eighth of the people receive $2 each and the rest $4 each, how many people are there altogether?
Divide the people into 8 units (based on 1/8 of the people):
1/2 => 4 units (recieved $3 each) x $3 = $12u
1/8 => 1 unit (recieved $2 each) x $2 = $2u
Remaining => 8 - 4 - 1 = 3u (received $4 each) x $4 = $12u
Total amount of money = $260 => $12u + $2u + $12u = $26u
$26 u -> 260
$1 u -> 260/6 = 10
Altogether there were 8 units of people
8 u -> 80 people
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