Please help! Thanks!

Question

A total of $270 is to be divided among four children. Each will receive an amount that is proportional to his or her age. If the children are 5, 10, 14, and 16 years old, how much money does the youngest child receive?

a. $96

b. $6

c. $30

d. $54

Answer 1

We have the amounts: (5x), (10x), (14x) and (16x).

What is x:

x * 45 = 270

Solve for x: x = 6

So, the youngest being 5, will get $30.

Answer 2

5+10+14+16 =45

5/45 = 1/9 share of 270

1/9 times 270 = $30

c is correct