if a\b=3\4, b\c=5 c\d=4/3, d\e=2,e\f=1/4 then def\abc = a)40\9 b)400\9 c)9\40 9\400

Question

if a/b=3/4, b/c=5 c/d=4/3, d/e=2,e/f=1/4 then def/abc =

a)40/9

b)400/9

c)9/40

d)9/400.

Answer 1

There are 5 equations and 6 unknowns. This means we can define 5 variables in terms of the remaining one.

Let's use a as the variable defining the other variables.

b=4a/3; c=b/5=(4a/3)/5=4a/15; d=3c/4=a/5; e=d/2=a/10; f=4e=2a/5.

def=(a/5)(a/10)(2a/5)=a^3/125;

abc=a(4a/3)(4a/15)=16a^3/45;

def/abc=45/(16*125)=9/(16*25)=9/400, answer d.