Question

A man left 5720 to be shared among his son and 3 daughters. Each daughter's share was 3/4 of the son's share. How much did the son receive? ​

Answer 1

son will receive 1,760

Explanation:

given:

A man left 5720 to be shared among his son and 3 daughters. Each daughter's share was 3/4 of the son's share

find:

How much did the son receive? ​

solution:

sum of shares = 5720 = 1 son(s) + 3 daughters (d) ---------eq.1

each daughter 1(d)= 3/4(s)of son

from eq. 1:

5720 = 1s + 3d

substitute d = 3/4s into eq.1

5720 = 1s + 3 (3/4 s)

5720 = 1s + 9/4 s

5720 (4) = 13 s

s = 22880 / 13

s = 1760

therefore,

the son will receive 1,760