Q:

A) 75 litres | B) 100 litres |

C) 150 litres | D) 120 litres |

Answer: D) 120 litres

Explanation:

Explanation:

$\frac{wine\left(left\right)}{wine\left(added\right)}=\frac{343}{169}$

It means $\frac{wine\left(left\right)}{wine(initialamount)}=\frac{343}{512}$ (since 343 + 169 = 512)

Thus, $343x=512x{\left(1-\frac{15}{k}\right)}^{3}$

$\frac{343}{512}={\left(\frac{7}{8}\right)}^{3}={\left(1-\frac{15}{k}\right)}^{3}$

$\left(1-\frac{15}{k}\right)=\frac{7}{8}=\left(1-\frac{1}{8}\right)$

Thus the initial amount of wine was 120 liters.