a man gave ⅝of his money to his son¾ of the remaining to his daughter and the remaining to his wife. if his wife get shs 8700, what was the total amount

shs92800

Step-by-step explanation:

Let the money owned by the man be x.

Hence the man gave ⅝of his money to his son;

Meaning the son gets:

⅝ * x = ⅝x

¾ of the remaining to his daughter,

Meaning his daughter gets:

¾ * (x-⅝x) = ¾*3/8 x = 9/32X

the remaining to his wife,

Meaning his wife gets:

x - (5/8x + 9/32x) = x - 29/32x = 3/32 x

But his wife's amount is Shs8700

Meaning 3/32x = Shs8700

x = Shs8700 * 32/3 = shs92800