https://file.aiquickdraw.com/mathbot/file/17268328002826i1mtopt.jpg

Let's break down the problem step by step:

1. **Flour**: Veena used \( \frac{1}{2} \) kg of flour.

2. **Sugar**: The quantity of sugar is one-third of the quantity of flour. 
   \[
   \text{Sugar} = \frac{1}{3} \times \frac{1}{2} = \frac{1}{6} \text{ kg}
   \]

3. **Butter**: The quantity of butter is double the quantity of sugar.
   \[
   \text{Butter} = 2 \times \frac{1}{6} = \frac{2}{6} = \frac{1}{3} \text{ kg}
   \]

Now, to find the total quantity of the three ingredients, we add them up:
\[
\text{Total quantity} = \frac{1}{2} + \frac{1}{6} + \frac{1}{3}
\]

We need a common denominator to add these fractions. The least common denominator (LCD) for 2, 6, and 3 is 6.

\[
\frac{1}{2} = \frac{3}{6}, \quad \frac{1}{6} = \frac{1}{6}, \quad \frac{1}{3} = \frac{2}{6}
\]

Now, sum the fractions:
\[
\text{Total quantity} = \frac{3}{6} + \frac{1}{6} + \frac{2}{6} = \frac{6}{6} = 1 \text{ kg}
\]

### Final Answer:
The total quantity of the three ingredients used is **1 kilogram**.

---

Do you want further details or have any questions?

Here are five related questions to explore:

1. What if the flour quantity was doubled? How would that affect the total?
2. How would you convert the total quantity into grams?
3. If Veena only wanted to use 0.25 kg of flour, how would you adjust the other ingredients?
4. Can you express the amount of sugar and butter as percentages of the total?
5. What would be the total if the sugar was half the quantity of flour instead of one third?

**Tip**: Always check for a common denominator when adding fractions with different denominators to ensure accuracy.

Veena used the following measurements of ingredients to make a batch of cookies:

Flour = 1/2 kg
Sugar = one third the quantity of flour
Butter = double the quantity of sugar

What is the total quantity of the three ingredients used in kilograms? Show your work.

Learn how to calculate the total quantity of ingredients using fractions with a step-by-step example. Veena uses 1/2 kg of flour, one third of that amount of sugar, and twice the amount of sugar for butter. This guide breaks down the process of adding fractions to find the total. Suitable for Grades 5-7.

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