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Read the pie chart showing the type of flower planted By a farmer in his field and answer the given question If the total number of flower planted is 1200  a)What is the ratio of marigold and jasmine planted?

To solve the problem, let's first analyze the pie chart provided. The angles corresponding to each type of flower are as follows:

- **Tulip**: \( 60^\circ \)
- **Rose**: \( 112.5^\circ \)
- **Marigold**: \( 67.5^\circ \)
- **Sunflower**: \( 82.5^\circ \)
- **Jasmine**: \( 37.5^\circ \)

### Step 1: Calculate the fraction of flowers for Marigold and Jasmine.
The total angle in a pie chart is \( 360^\circ \).

- Fraction of **Marigold** planted: \(\frac{67.5^\circ}{360^\circ}\)
- Fraction of **Jasmine** planted: \(\frac{37.5^\circ}{360^\circ}\)

### Step 2: Determine the number of flowers for each type.
Since the total number of flowers planted is 1200:

- Number of **Marigold** flowers: \(\frac{67.5^\circ}{360^\circ} \times 1200\)
- Number of **Jasmine** flowers: \(\frac{37.5^\circ}{360^\circ} \times 1200\)

Let's calculate these values:

\[
\text{Number of Marigold flowers} = \frac{67.5}{360} \times 1200 = 225
\]

\[
\text{Number of Jasmine flowers} = \frac{37.5}{360} \times 1200 = 125
\]

### Step 3: Calculate the ratio of Marigold to Jasmine.
The ratio of Marigold to Jasmine is:

\[
\text{Ratio} = \frac{225}{125} = \frac{9}{5} = 9:5
\]

**Answer: The ratio of Marigold to Jasmine flowers planted is 9:5.**

Would you like more details or have any other questions? 

Here are 5 related questions to expand your understanding:

1. How would the ratio change if the total number of flowers planted increased to 1500?
2. What is the percentage of Tulip flowers in the field?
3. If the farmer planted 2400 flowers instead of 1200, how many Sunflower plants would there be?
4. What is the ratio of Tulip to Rose flowers?
5. If the Marigold section increased by \(10^\circ\), what would be the new ratio of Marigold to Jasmine?

**Tip:** When interpreting pie charts, always verify that the sum of the angles equals 360° to ensure the chart is accurate.

Learn how to calculate the ratio of Marigold to Jasmine flowers planted using a pie chart. Detailed step-by-step solution with angles and fractions involved. Suitable for students in Grades 6-8.

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