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The problem states that Jamie has **30 kg** of vegetables, and a litre of soup contains **\( \frac{5}{6} \) kg** of vegetables. To find out how many litres of soup Jamie can make, we divide the total amount of vegetables by the amount of vegetables in each litre of soup.

The calculation is:

\[
\text{Total litres of soup} = \frac{30 \, \text{kg}}{\frac{5}{6} \, \text{kg/litre}} = 30 \times \frac{6}{5}
\]

Now let's calculate this:

\[
30 \times \frac{6}{5} = \frac{180}{5} = 36
\]

Jamie can make **36 litres** of soup in total.

Would you like further details or have any questions? 

Here are 5 related questions to extend your understanding:
1. How would the result change if the litre of soup contained \( \frac{3}{4} \) kg of vegetables?
2. If Jamie only had 20 kg of vegetables, how many litres of soup could they make?
3. What if the soup recipe required 1 kg of vegetables per litre? How many litres could be made?
4. How can we express the inverse problem: how much vegetables are needed for 50 litres of soup?
5. What fraction represents the proportion of vegetables in a 36-litre batch if we use only 20 kg of vegetables?

**Tip**: When dividing by a fraction, remember you are multiplying by its reciprocal.

Jamie has 30 kg of vegetables to make soup. A litre of soup contains 5/6 kg of vegetables. How much soup, in litres, can Jamie make in total? Give your answer as an integer or as a fraction in its lowest terms.

Find out how much soup Jamie can make with 30 kg of vegetables when each litre of soup contains 5/6 kg of vegetables. Learn the steps of dividing fractions and multiplying by reciprocals. Ideal for Grades 6-8.

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