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

Step-by-step 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 :

$1\ \text{ging} = \dfrac{4.9}{2.8}\ \text{hing}\ .....(3)$

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

$1\ \text{jing} = \dfrac{15.4}{5.39}\ \text{hing}\ .....(4)$

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

$\dfrac{\text{1 ging}}{\text{1 jing}}=\dfrac{4.9}{2.8}\times \dfrac{5.39}{15.4}\\\\\dfrac{\text{1 ging}}{\text{1 jing}}=\dfrac{49}{80} \\\\1\ \text{ging}=\dfrac{49}{80}\ \text{ jings}$

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