Answer:
21 years old.
Step-by-step explanation:
Given:
Waneta is 8 years old
Waneta is 4/7 as old as Elizabeth.
Chun is 1/2 as old as Elizabeth.
George is 3 time as old as Chun.
Question asked:
How many years old is George ?
Solution:
Let age of Elizabeth = [tex]x[/tex] years
Waneta is 4/7 as old as Elizabeth. ( given )
Age of Waneta = [tex]\frac{4}{7} \ of \ Elizabeth[/tex]
[tex]8=\frac{4}{7} \times x\\\\8=\frac{4}{7}x[/tex]
By cross multiplication:
[tex]4x=56[/tex]
By dividing both sides by 4
[tex]x=14\\[/tex]
Age of Elizabeth = [tex]x[/tex] = 14 years
Chun is 1/2 as old as Elizabeth. ( given )
Age of Chun = [tex]\frac{1}{2} \ of \ Elizabeth\\[/tex]
= [tex]\frac{1}{2} \times14= 7\ years[/tex]
George is 3 time as old as Chun. ( given )
Age of George = [tex]3\ times \ of \ Chun\\[/tex]
[tex]=3\times7=21\ years[/tex]
Therefore, George is 21 years old.
