We know that there are tomato juice, orange juice, and cherry juice bottles in a ratio of 4:3:4, respectively.
As you can observe in the given ratio, to get 30 orange juice, we have to multiply it by 10. So, if we multiply the whole ratio, we obtain the following
This means that 30 orange juice bottles are in the same ratio as 40 tomato juice bottles and 40 cherry juice bottles.
Hence, the total number of juice bottles is 40+30+40 = 110.