Question

If x : y = 0.75 : 0.90 and y : z = 1/3 : 1/4

(A) simplify the ratio x : y and y : z

(B) find x : y : z

Answer 1

Explanation:

x:y=0.75:0.90

Here,

Dividing by the value of y=0.90,

x:y=0.75/0.90:0.90/0.90

=5/6:1

Similarly,

y:z=1/3:1/4

Dividing by 1/3,we get,

y:z=1:3/4

Now,

X:y:z=5/6:1:3/4

Multiplying by both value of y,0.90×1/3=3/10

x:y:z=5/6×3/10:1×3/10:3/4×3/10

By solving this,

x:y:z=1/4:3/10:9/40