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The problem in the image gives a ratio of apples to grapes to oranges as \(2:4:1\), and mentions that there are 20 grapes in total.

### Step 1: Understand the Ratio
The given ratio is \( 2 : 4 : 1 \), which means for every:
- 2 parts of apples
- 4 parts of grapes
- 1 part of oranges

### Step 2: Set Up the Relationship
Since there are 4 parts of grapes and the total number of grapes is 20, we can determine the "value of one part" by dividing the total number of grapes by the number of parts:
\[
\frac{20 \text{ grapes}}{4 \text{ parts}} = 5 \text{ grapes per part}
\]

### Step 3: Find the Number of Apples and Oranges
Now that we know each part equals 5 pieces of fruit:
- Apples: \(2 \times 5 = 10\) apples
- Oranges: \(1 \times 5 = 5\) oranges

### Step 4: Calculate the Total Number of Items
To find the total number of items in the bowl, sum all the apples, grapes, and oranges:
\[
10 \text{ apples} + 20 \text{ grapes} + 5 \text{ oranges} = 35 \text{ total items}
\]

### Conclusion:
- The number of apples is **10**.
- The total number of items in the bowl is **35**.

Would you like a more detailed explanation on any of the steps? Here are five related questions to expand on this problem:

1. How would the total change if there were 30 grapes instead of 20?
2. What would the ratio need to be if there were 15 apples instead of 10?
3. How do you find the number of oranges if the total number of fruits is unknown?
4. Can you express the total number of fruits algebraically based on the parts?
5. How does changing the ratio impact the total count of items?

**Tip:** Always use the given ratio to determine the "value of one part" when solving these types of problems.

The ratio of apples to grapes to oranges in a bowl of mixed fruit is 2:4:1. There are 20 grapes in the bowl. How many apples are there, and what is the total number of items in the bowl?

Learn how to solve a ratio problem involving apples, grapes, and oranges in a bowl of mixed fruit. The given ratio is 2:4:1, and there are 20 grapes in total. Discover how to find the number of apples and the total number of items in the bowl, suitable for Grade 6-7 students.

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