SOLUTION: 6500 us were divided equally among a certain number of persons. had there been 15 more persons, each would have got 30 us less. find the original number of persons.

Question 550387: 6500 us were divided equally among a certain number of persons. had there been 15 more persons, each would have got 30 us less. find the original number of persons.
Answer by JBarnum(2146) (Show Source): You can put this solution on YOUR website!
i dont know what a (us) is other than my country..lol but i will just say they are dollars($)
p= persons , x= amount per person

the equations above come straight from the problem, the more word problems you do the easier it will become to recognize the equations

use substitution methed
foil
substitute x

add like terms
multiply by p
organize in ax^2+bx+c=0
take the 30 out
find 2 numbers that multiply to get -3250 and add to get +15
5*5*5*2*13=3250, 5*13=65 5*5*2=50, 65*-50=-3250 , 65-50=+15

p cant be negative so answer is

check

correct
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