SOLUTION: could anyone help me solve this problem mr.pandit divided an amount of rs.108000 amongst his daughters and 3 sons.each daughter received thrice the amount as each of the sons.ho

Algebra.Com
Question 824039: could anyone help me solve this problem
mr.pandit divided an amount of rs.108000 amongst his daughters and 3 sons.each daughter received thrice the amount as each of the sons.how much amount did each daughter receive?

Answer by rothauserc(4718)   (Show Source): You can put this solution on YOUR website!
let x be the amount received by one of his sons, 3x be the amount received by one of his daughters and a be the number of his daughters, then
a3x +x +x +x = 108000
a3x +3x = 108000
3x*(a+1) = 108000
a+1 = 108000 / 3x
a+1 = 36000 / x
let x = 12000 and
a+1 = 3
a = 2
therefore
each son received Rs 12000 and each daughter Rs 36000 (there are two daughters)
check our answer
36000 +36000 +12000 +12000 +12000
72000 + 36000 = 108000
our answer checks


RELATED QUESTIONS

please help me solve this : a man left an amount of $525,000 to be divided among his... (answered by josmiceli)
A man with monthly income Rs. 363 spends as much in 4 months,as he earns in 3... (answered by amoresroy)
a man with a monthly income of rs 363 spends as much in 4 months , as he earns in 3... (answered by josgarithmetic)
Mr Lee left his fortune to his 3 sons,4 daughters and his wife. Each son received twice... (answered by ankor@dixie-net.com)
An amount of Rs 735 are divided among A,B and C.If each of them receives Rs 25 less,their (answered by edjones)
a man on his death left rupees 84000 to be divided among his two sons and three daughters (answered by ikleyn)
Mr. Kingsben and Mr. Kenneth sent their sons to the same high school and their daughters... (answered by stanbon)
a father divides his estate between his 4 sons, each son receiving an equal share. One of (answered by dkppathak)
I am wondering if anyone could help me with this story problem. Here are the directions:... (answered by mananth)