(Please show me your working)

Question

A group of young men decided to raisebsh480,000 to a business to a start a businezs.Before the actual payment was made  four of the members pulled out and eacg of those remaining had to pay an additionalsh 20,000. Determine the original number of the members (8marks

Answer 1

n = original number of men

 

480,000/n = original share

 

(480,000/n) + 20,000 = 480,000/(n-4) = modified share after 4 men pull out

 

to make this problem simpler, divide each term by 20,000

 

(24/n) + 1 = 24/(n-4)

 

multiply each term by (n)(n - 4)

 

24(n - 4) + (n)(n - 4) = 24n

 

n² - 4n - 96 = 0

 

(n - 12)(n + 8) =0

 

discard the answer that n = -8

 

so the original number of members = 12

 

to check, the 12 men would originally pay 40,000 each and the remaining 8 men would pay 60,000 each

 

which is an increase of 20,000