Question

If 2A=3B and 4B=5C,then find A:C

Answer 1

SOLN;
At first taken,
2A=3B
=>A=3B/2.
Then, taken 4B=5C.
=>C=4B/5
So A:C,
3B/2;4B/5,
THE FINAL ANS IS,
A;C=3/2;4/5

Answer 2

Answer:

The value of A: C is $\frac {3}{2} : \frac{4}{5}$

To find:

The ratio of A: C if 2A=3B and 4B=5C

Solution:

Ratio must be expressed by comparing two similar quantities.

Note:  

1. We cannot compare the ratios by using two dissimilar quantities

2. Ratios can be expressed by using similar quantities and same units.

3. Always ratios are expressed in the lowest terms.

Given that

2A=3B and 4B=5C

In the above given equations, B is the common, so by solving both equations we can find A:C.

2A=3B

$\begin{array} { c } { \mathrm { A } = \frac { 3 } { 2 } \mathrm { B } } \\\\ { 4 \mathrm { B } = 5 \mathrm { c } } \\\\ { \mathrm { C } = \frac { 4 } { 5 } \mathrm { B } } \\\\ { \mathrm { A } : \mathrm { C } = ? } \end{array}$

Therefore,

$\begin{array} { c } { A : C = \frac { 3 } { 2 } B : \frac { 4 } { 5 } B } \\\\ { A : C = \frac { 3 } { 2 } : \frac { 4 } { 5 } } \end{array}$

The value of A: C is $\frac {3}{2} : \frac{4}{5}$