Question

Sabeena has a box containing bottles of juice. The three flavours are orange, mango and apple. The ratio of these flavours is 3 : 5 : 4. There 35 bottles of mango juice. How many bottles are there together?

Answer 1

Dear student
$$\begin{gathered} \mathrm{The}\mathrm{given}\mathrm{ratio}\mathrm{of}\mathrm{different}\mathrm{flavors}\mathrm{of}\mathrm{juices}\mathrm{is}3:5:4 \\ \mathrm{Let}\mathrm{the}\mathrm{number}\mathrm{of}\mathrm{orange}\mathrm{juice}\mathrm{bottle}\mathrm{be}3\mathrm{y} \\ \mathrm{Let}\mathrm{the}\mathrm{number}\mathrm{of}\mathrm{mango}\mathrm{juice}\mathrm{bottle}\mathrm{be}5\mathrm{y} \\ \mathrm{Let}\mathrm{the}\mathrm{number}\mathrm{of}\mathrm{apple}\mathrm{juice}\mathrm{bottle}\mathrm{be}4\mathrm{y} \\ \mathrm{Number}\mathrm{of}\mathrm{mango}\mathrm{juice}\mathrm{bottle}=35 \\ \Rightarrow 5\mathrm{y}=35 \\ \Rightarrow \mathrm{y}=7 \\ \mathrm{So},\mathrm{Number}\mathrm{of}\mathrm{orange}\mathrm{juice}\mathrm{bottle}=3\left(7\right)=21 \\ \mathrm{and}\mathrm{Number}\mathrm{of}\mathrm{apple}\mathrm{juice}\mathrm{bottle}=4\left(7\right)=28 \\ \mathrm{Hence},\mathrm{total}\mathrm{number}\mathrm{of}\mathrm{bottles} \\ =\mathrm{Number}\mathrm{of}\mathrm{mango}\mathrm{juice}\mathrm{bottle}+\mathrm{Number}\mathrm{of}\mathrm{orange}\mathrm{juice}\mathrm{bottle}+\mathrm{Number}\mathrm{of}\mathrm{apple}\mathrm{juice}\mathrm{bottle} \\ =35+21+28 \\ =84 \end{gathered}$$
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