Final answer:
The maximum volume of purple berry that can be made is 12 litres.
Step-by-step explanation:
To find the maximum volume of purple berry that can be made, we need to determine how many units of red and blue paint are needed to make the shade of paint purple berry. From the given ratio of 5:2, this means for every 5 units of red paint, we need 2 units of blue paint. Emma has 30 litres of red paint and 10 litres of blue paint. To determine the maximum volume of purple berry, we can set up a proportion: 5/2 = 30/x, where x represents the volume of purple berry. Cross-multiplying, we have 5x = 2 * 30, which simplifies to 5x = 60. Dividing both sides by 5, we find x = 12. Therefore, the maximum volume of purple berry that can be made is 12 litres.