SOLUTION: If Alan is 50% taller than Kolin and Kolin is 50% taller than Ford, how many times taller than Ford is Alan?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: If Alan is 50% taller than Kolin and Kolin is 50% taller than Ford, how many times taller than Ford is Alan?      Log On


   



Question 941523: If Alan is 50% taller than Kolin and Kolin is 50% taller than Ford, how many times taller than Ford is Alan?
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
Alan height = a
Kolin height = k
Ford height = f
100% =1.00
50%=0.50
(For someone to be 50% taller it means its 0.5 times the total height of that person. Total height would be 100% or equivalent to 1 time. So adding 1+0.5 gets me the 1.5 number.)
------
a=1.5(k) this reads Alan is 50% taller than Kolin.
k=1.5(f) this reads Kolin is 50% taller than Ford.
------
Using basic substitution method for (k)
------
a=1.5(1.5(f))
a=2.25(f)
This reads Alan is 2.25 times taller then Ford.
------
To check to make sure:
Lets say for example ford is 2 feet tall just a toddler.
This makes Kolin 3 feet tall and Alan 4.5 feet tall.
a=2.25(f)
4.5=2.25(2)
------
a=1.5(k)
4.5=1.5(3)
------
k=1.5(f)
3=1.5(2)