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The problem provides a total of 54 pieces of trail mix consisting of nuts and fruits, with a ratio of 11 nuts for every 7 fruits. We need to determine the number of nuts and fruits in the bag, completing the table.

The ratio of nuts to fruits is given as 11:7. This means for every 11 + 7 = 18 parts, 11 are nuts, and 7 are fruits. We can now use this ratio to find how many pieces are in each category out of the total 54 pieces.

1. First, find the multiplier by dividing the total number of pieces (54) by the total parts in the ratio (18):
   \[
   \text{Multiplier} = \frac{54}{18} = 3
   \]

2. Now, multiply the individual parts of the ratio by this multiplier:
   - Number of nut pieces: \( 11 \times 3 = 33 \)
   - Number of fruit pieces: \( 7 \times 3 = 21 \)

So, the table will be completed as:
- **Nut pieces**: 33
- **Fruit pieces**: 21
- **Total pieces**: 54 (already given)

Would you like a further explanation or have any questions?

Here are 5 related questions to expand on this:
1. What would happen if the total pieces of trail mix were 72 instead of 54?
2. If the ratio changed to 13:5, how would the table look with 54 total pieces?
3. How can you calculate the ratio if you know the total number of nuts and fruits?
4. What proportion of the trail mix is made up of nuts?
5. How would the table change if you added 10 extra pieces of dried fruit?

**Tip**: Always check if the given total matches the sum of all parts in a ratio before making any further calculations!

Ren has a bag of trail mix made of 54 total pieces of nut or dried fruit. There are 11 nuts for every 7 fruits. Complete the table.

Learn how to solve a ratio problem involving 54 total pieces of trail mix consisting of nuts and dried fruit. Understand the use of ratios, proportions, and multiplication to find the number of nut and fruit pieces. This problem is suitable for students in Grades 5-7.

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