Tara makes donut topping by mixing sugar and 
\[12\,\text{g}\] of cinnamon. The tape diagram shows the ratio of sugar to cinnamon.
A tape diagram with 2 tapes of unequal lengths. The first tape has 3 equal parts. A curved bracket above the first tape is labeled Sugar. The second tape has 2 equal parts of the same size as in the first tape. A curved bracket below the second tape is labeled Cinnamon.
Complete the table.
Original ratio	Amount (
\[\text{g}\])
Sugar	
\[3\]	
Cinnamon	
\[12\]
Total topping	
\[5\]	


Given the tape diagram and the information about the ratio of sugar to cinnamon, we can interpret and complete the table step by step.

The tape diagram shows:
- Sugar has 3 equal parts.
- Cinnamon has 2 equal parts.
This gives a ratio of sugar to cinnamon of \(3:2\).

Now, we are told that \(12\, \text{g}\) of cinnamon corresponds to the 2 parts of cinnamon. Therefore, each part in the diagram represents:

\[
\frac{12\, \text{g}}{2} = 6\, \text{g} \text{ per part}.
\]

Since sugar has 3 parts, the total amount of sugar will be:

\[
3 \times 6 = 18\, \text{g}.
\]

### Completing the table:

| Original ratio | Amount (g) |
|----------------|------------|
| **Sugar**      | 18         |
| **Cinnamon**   | 12         |
| **Total topping** | \(18 + 12 = 30\) |

The total topping is the sum of sugar and cinnamon, which is 30 grams.

Would you like further details or have any questions?

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Here are 5 related questions to explore this further:
1. What would be the amount of sugar if there were 24 grams of cinnamon?
2. How would the total amount of topping change if the cinnamon amount were doubled?
3. If Tara wanted to mix 45 grams of topping, how much sugar and cinnamon would she need?
4. How can we express the ratio of sugar to the total topping in simplest form?
5. What is the percentage of cinnamon in the total mixture?

**Tip:** Ratios can help scale recipes up or down while maintaining the same proportions between ingredients.

Tara makes donut topping by mixing sugar and 12g of cinnamon. The tape diagram shows the ratio of sugar to cinnamon. A tape diagram with 2 tapes of unequal lengths. The first tape has 3 equal parts. A curved bracket above the first tape is labeled Sugar. The second tape has 2 equal parts of the same size as in the first tape. A curved bracket below the second tape is labeled Cinnamon. Complete the table. Original ratio Amount (g) Sugar 3 Cinnamon 12 Total topping 5.

Learn how to solve a ratio problem involving a mixture of sugar and 12g of cinnamon. This problem covers key concepts like ratios, proportions, and basic arithmetic, and is suitable for students in Grades 6-8.

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