Question

5.39 jings =15.4 hings

4.9 hings = 2.8 gings

According to the conversion rates above, how
many jings equal 1 ging?
E. 7/40
F. 5/8
G. 49/80
H. 20/7

Answer 1

Explanation:

It is given that,

5.39 jings =15.4 hings ....(1)

4.9 hings = 2.8 gings ...(2)

From equation (2), the value of 1 ging is :

`1\ \text{ging} = (4.9)/(2.8)\ \text{hing}\ .....(3)`

From equation (1), the value of 1 jing is :

`1\ \text{jing} = (15.4)/(5.39)\ \text{hing}\ .....(4)`

From equation (3) and (4), we get :

`\frac{\text{1 ging}}{\text{1 jing}}=(4.9)/(2.8)* (5.39)/(15.4)\\\\\frac{\text{1 ging}}{\text{1 jing}}=(49)/(80) \\\\1\ \text{ging}=(49)/(80)\ \text{ jings}`

Hence, the correct option is (g) "49/80"