Answer:
son will receive 1,760
Step-by-step 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
