Answer:
The son received 2,615.38.
Step-by-step explanation:
In order to know how much the son received, it is best to use algebraic expressions in finding the children's individual shares.
Let x be the son's share and [tex]\frac{3x}{4}[/tex] be the share of each daughter.
The equation will be: 8,500 = x + [tex]\frac{3x}{4}[/tex] + [tex]\frac{3x}{4}[/tex] + [tex]\frac{3x}{4}[/tex]
Next step is: 8,500 = [tex]\frac{3x+3x+3x+4x}{4}[/tex]
8,500 = [tex]\frac{13x}{4}[/tex]
8,500 × 4 = 13x
34,000 = 13x
[tex]\frac{34,000}{13}[/tex] = x
x = 2,615.38
The son received 2,615.38
Let's get the share of each daughter:
[tex]\frac{3x}{4}[/tex] = [tex]\frac{(3)(2,615.38)}{4}[/tex] = 1,961.54
Each daughter will receive 1,961.54
Let's check: 2,615.38 + 1,961.54 + 1,961.54 + 1,961.54 = 8,500
