Question

Having trouble doing this question ​

Answer 1

To calculate the maximum number of batches of smoothies that can be made from 81 liters of mango juice, we need to determine the amount of mixed fruit juice needed for each batch.

Given that the ratio of ice cream to mixed fruit juice is 4:3, we can say that the total ratio of ice cream and mixed fruit juice is 4 + 3 = 7.

Since 45% of the juice is mango juice, we can calculate the amount of mixed fruit juice (excluding mango juice) as follows:
Mixed fruit juice = 100% - 45% = 55%

Now, we can calculate the amount of mixed fruit juice needed for each batch:
Amount of mixed fruit juice = (55% / 100%) * 5.6 liters

Next, we can calculate the number of batches that can be made from 81 liters of mango juice:
Number of batches = 81 liters of mango juice / Amount of mixed fruit juice per batch

Please note that I need the specific value of the amount of mixed fruit juice per batch, which is calculated using the given information about the ratio and mango juice percentage. Without those specific values, it is not possible to provide an exact answer.

Answer 2

32 batches of mango juice

Explanation:

The ratio of ice cream to mixed fruit juice is 4 : 3. Therefore, the ratio of ice cream to mango juice is also 4 : 3 since 45% of the juice is mango juice. This means that for every 4 units of ice cream, there are 3 units of mango juice.

One batch of smoothie requires 4 + 3 = 7 units of the mixture. Therefore, one batch of smoothie requires
`(7)/(7)` = 1 unit of the mixture.

81 litres of mango juice is equivalent to 45% of the total volume of the mixture. Therefore, the total volume of the mixture is:

81 ÷
`(45)/(100)` = 180 litres

One batch of smoothie requires 5.6 litres of the mixture. Therefore, the maximum number of batches that can be made from 180 litres of the mixture is:

180 ÷ 5.6 = 32.14

Therefore, the maximum number of batches that can be made from 81 litres of mango juice is 32.