Question

Find the value of a if a:400=6:25

Answer 1

Answer:

Step-by-step explanation:

a:400=6:25 can be written as

a/400=6/25

25a=2400

a=2400/25

a=96

Answer 2

The value of a if a:400 = 6:25 is 96

Solution:

Given that a:400=6:25

We have to find the value of a.  

Ratios can also be expressed in fraction form. i.e $a:b= \frac{a}{b}$

We can write the given problem in the following way

$\frac{a}{400}=\frac{6}{25}$

Shifting 400 to the right hand side, we get

$a=\frac{6}{25} \times 400$

We know 25 × 16 = 400. So cancelling 400 by 25 we get 16

$a = 6 \times 16 = 96$

Thus the value of a = 96