Question

1 litre of juice costs ( mixed fraction )Rs 42 4/7 . How much will ( mixed fraction ) 10 1/2 litres cost? If this juice is poured in to glasses of 1/8 litres each, how many glasses will be needed?

Answer 1

$$\begin{gathered} \mathrm{cost}\mathrm{of}1\mathrm{liter}\mathrm{juice}=\mathrm{Rs}.42\frac{4}{7}=\mathrm{Rs}.\frac{298}{7} \\ \mathrm{So}\mathrm{cost}\mathrm{of}10\frac{1}{2}\mathrm{liter}=10\frac{1}{2}\times \frac{298}{7} \\ =\mathrm{Rs}.\left(\frac{21}{2}\times \frac{298}{7}\right)=\mathrm{Rs}.447 \\ \mathrm{Now}\mathrm{if}\mathrm{we}\mathrm{want}\mathrm{to}\mathrm{divide}10\frac{1}{2}\mathrm{liter}\mathrm{in}\mathrm{the}\mathrm{glasses}\mathrm{of}\frac{1}{8}\mathrm{liter} \\ \mathrm{So}\mathrm{number}\mathrm{of}\mathrm{glasses}=\frac{10\frac{1}{2}}{\frac{1}{8}}=\frac{21}{2}\times 8=84\mathrm{glasses}. \end{gathered}$$